11420556400 has 120 divisors (see below), whose sum is σ = 30046626000. Its totient is φ = 4137062400.

The previous prime is 11420556383. The next prime is 11420556401. The reversal of 11420556400 is 465502411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11420556401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1178776 + ... + 1188424.

It is an arithmetic number, because the mean of its divisors is an integer number (250388550).

Almost surely, 2^11420556400 is an apocalyptic number.

11420556400 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 11420556400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023313000).

11420556400 is an abundant number, since it is smaller than the sum of its proper divisors (18626069600).

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

11420556400 is a wasteful number, since it uses less digits than its factorization.

11420556400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 11420556400 in words is "eleven billion, four hundred twenty million, five hundred fifty-six thousand, four hundred".