41372640 has 192 divisors, whose sum is σ = 148115520. Its totient is φ = 10782720.

The previous prime is 41372603. The next prime is 41372657. The reversal of 41372640 is 4627314.

41372640 = 188² + 189² + ... + 507².

41372640 is a `hidden beast` number, since 4 + 13 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263442 + ... + 263598.

It is an arithmetic number, because the mean of its divisors is an integer number (771435).

Almost surely, 2^41372640 is an apocalyptic number.

41372640 is a gapful number since it is divisible by the number (40) 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 41372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74057760).

41372640 is an abundant number, since it is smaller than the sum of its proper divisors (106742880).

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

41372640 is a wasteful number, since it uses less digits than its factorization.

41372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 41372640 is about 6432.1567145088. The cubic root of 41372640 is about 345.8632446508.

Adding to 41372640 its reverse (4627314), we get a palindrome (45999954).

The spelling of 41372640 in words is "forty-one million, three hundred seventy-two thousand, six hundred forty".