4971055190400 has 1536 divisors, whose sum is σ = 20845872028800. Its totient is φ = 1146051624960.

The previous prime is 4971055190363. The next prime is 4971055190419. The reversal of 4971055190400 is 40915501794.

4971055190400 is a `hidden beast` number, since 4 + 9 + 7 + 1 + 0 + 55 + 190 + 400 = 666.

It is a super-2 number, since 2×4971055190400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4907260294 + ... + 4907261306.

Almost surely, 2^{4971055190400} is an apocalyptic number.

4971055190400 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 4971055190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10422936014400).

4971055190400 is an abundant number, since it is smaller than the sum of its proper divisors (15874816838400).

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

4971055190400 is a wasteful number, since it uses less digits than its factorization.

4971055190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 4971055190400 in words is "four trillion, nine hundred seventy-one billion, fifty-five million, one hundred ninety thousand, four hundred".