11402324640 has 240 divisors, whose sum is σ = 45989741952. Its totient is φ = 2606224896.

The previous prime is 11402324627. The next prime is 11402324671. The reversal of 11402324640 is 4642320411.

It is a happy number.

11402324640 is a `hidden beast` number, since 1 + 14 + 0 + 2 + 3 + 2 + 4 + 640 = 666.

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

It is a super-2 number, since 2×11402324640² (a number of 21 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 27877 + ... + 153563.

Almost surely, 2^11402324640 is an apocalyptic number.

11402324640 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 11402324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22994870976).

11402324640 is an abundant number, since it is smaller than the sum of its proper divisors (34587417312).

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

11402324640 is a wasteful number, since it uses less digits than its factorization.

11402324640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125721 (or 125704 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 11402324640 in words is "eleven billion, four hundred two million, three hundred twenty-four thousand, six hundred forty".