11402651040 has 192 divisors, whose sum is σ = 40140116352. Its totient is φ = 2696806400.

The previous prime is 11402651017. The next prime is 11402651047. The reversal of 11402651040 is 4015620411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11402651040.

It is not an unprimeable number, because it can be changed into a prime (11402651047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190144 + ... + 242816.

It is an arithmetic number, because the mean of its divisors is an integer number (209063106).

Almost surely, 2^11402651040 is an apocalyptic number.

11402651040 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 11402651040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20070058176).

11402651040 is an abundant number, since it is smaller than the sum of its proper divisors (28737465312).

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

11402651040 is a wasteful number, since it uses less digits than its factorization.

11402651040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52743 (or 52735 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 11402651040 in words is "eleven billion, four hundred two million, six hundred fifty-one thousand, forty".