11402451312400 has 240 divisors, whose sum is σ = 28404845973504. Its totient is φ = 4396477962240.

The previous prime is 11402451312377. The next prime is 11402451312401. The reversal of 11402451312400 is 421315420411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11402451312401) 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, 277296642 + ... + 277337758.

Almost surely, 2^{11402451312400} is an apocalyptic number.

11402451312400 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 11402451312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14202422986752).

11402451312400 is an abundant number, since it is smaller than the sum of its proper divisors (17002394661104).

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

11402451312400 is a wasteful number, since it uses less digits than its factorization.

11402451312400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41418 (or 41407 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 11402451312400 its reverse (421315420411), we get a palindrome (11823766732811).

The spelling of 11402451312400 in words is "eleven trillion, four hundred two billion, four hundred fifty-one million, three hundred twelve thousand, four hundred".