11801390400 has 252 divisors, whose sum is σ = 42051947392. Its totient is φ = 3139015680.

The previous prime is 11801390387. The next prime is 11801390401. The reversal of 11801390400 is 409310811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11801390401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7530417 + ... + 7531983.

Almost surely, 2^11801390400 is an apocalyptic number.

11801390400 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 11801390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21025973696).

11801390400 is an abundant number, since it is smaller than the sum of its proper divisors (30250556992).

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

11801390400 is a wasteful number, since it uses less digits than its factorization.

11801390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 11801390400 in words is "eleven billion, eight hundred one million, three hundred ninety thousand, four hundred".