47970014400 has 2520 divisors, whose sum is σ = 243295261440. Its totient is φ = 9032601600.

The previous prime is 47970014387. The next prime is 47970014413. The reversal of 47970014400 is 441007974.

It is an interprime number because it is at equal distance from previous prime (47970014387) and next prime (47970014413).

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×47970014400² (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 an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2085652789 + ... + 2085652811.

Almost surely, 2^47970014400 is an apocalyptic number.

47970014400 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 47970014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121647630720).

47970014400 is an abundant number, since it is smaller than the sum of its proper divisors (195325247040).

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

47970014400 is a wasteful number, since it uses less digits than its factorization.

47970014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 47970014400 in words is "forty-seven billion, nine hundred seventy million, fourteen thousand, four hundred".