47961014400 has 576 divisors, whose sum is σ = 187855242120. Its totient is φ = 11578245120.

The previous prime is 47961014383. The next prime is 47961014443. The reversal of 47961014400 is 441016974.

It can be written as a sum of positive squares in 12 ways, for example, as 10272227904 + 37688786496 = 101352^2 + 194136^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 19841992 + ... + 19844408.

Almost surely, 2^47961014400 is an apocalyptic number.

47961014400 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 47961014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93927621060).

47961014400 is an abundant number, since it is smaller than the sum of its proper divisors (139894227720).

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

47961014400 is a wasteful number, since it uses less digits than its factorization.

47961014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 47961014400 in words is "forty-seven billion, nine hundred sixty-one million, fourteen thousand, four hundred".