47022854400 has 432 divisors, whose sum is σ = 173090171520. Its totient is φ = 12491366400.

The previous prime is 47022854399. The next prime is 47022854407. The reversal of 47022854400 is 445822074.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×47022854400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47022854407) 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, 86918130 + ... + 86918670.

Almost surely, 2^47022854400 is an apocalyptic number.

47022854400 is a gapful number since it is divisible by the number (40) 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 47022854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86545085760).

47022854400 is an abundant number, since it is smaller than the sum of its proper divisors (126067317120).

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

47022854400 is a wasteful number, since it uses less digits than its factorization.

47022854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 47022854400 in words is "forty-seven billion, twenty-two million, eight hundred fifty-four thousand, four hundred".