1401776640 has 240 divisors, whose sum is σ = 5297044896. Its totient is φ = 339763200.

The previous prime is 1401776627. The next prime is 1401776669. The reversal of 1401776640 is 466771041.

1401776640 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 7 + 7 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1401776595 and 1401776604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250675 + ... + 256205.

Almost surely, 2^1401776640 is an apocalyptic number.

1401776640 is a gapful number since it is divisible by the number (10) 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 1401776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648522448).

1401776640 is an abundant number, since it is smaller than the sum of its proper divisors (3895268256).

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

1401776640 is a wasteful number, since it uses less digits than its factorization.

1401776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5571 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1401776640 is about 37440.3076910434. The cubic root of 1401776640 is about 1119.1619581242.

The spelling of 1401776640 in words is "one billion, four hundred one million, seven hundred seventy-six thousand, six hundred forty".