7401296448 has 336 divisors, whose sum is σ = 26250107520. Its totient is φ = 1941553152.

The previous prime is 7401296417. The next prime is 7401296449. The reversal of 7401296448 is 8446921047.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7401296448² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7401296449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17663983 + ... + 17664401.

It is an arithmetic number, because the mean of its divisors is an integer number (78125320).

Almost surely, 2^7401296448 is an apocalyptic number.

7401296448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7401296448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125053760).

7401296448 is an abundant number, since it is smaller than the sum of its proper divisors (18848811072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7401296448 is a wasteful number, since it uses less digits than its factorization.

7401296448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7401296448 is about 86030.7877913483. The cubic root of 7401296448 is about 1948.8089547179.

The spelling of 7401296448 in words is "seven billion, four hundred one million, two hundred ninety-six thousand, four hundred forty-eight".