11621403150400 has 168 divisors, whose sum is σ = 28975688316224. Its totient is φ = 4587144652800.

The previous prime is 11621403150337. The next prime is 11621403150547. The reversal of 11621403150400 is 405130412611.

It is a super-2 number, since 2×11621403150400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46513810 + ... + 46762990.

Almost surely, 2^{11621403150400} is an apocalyptic number.

11621403150400 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 11621403150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487844158112).

11621403150400 is an abundant number, since it is smaller than the sum of its proper divisors (17354285165824).

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

11621403150400 is a wasteful number, since it uses less digits than its factorization.

11621403150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249589 (or 249574 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 11621403150400 in words is "eleven trillion, six hundred twenty-one billion, four hundred three million, one hundred fifty thousand, four hundred".