47921201078400 has 3072 divisors, whose sum is σ = 203075377344000. Its totient is φ = 11086361395200.

The previous prime is 47921201078393. The next prime is 47921201078453. The reversal of 47921201078400 is 487010212974.

47921201078400 is a `hidden beast` number, since 47 + 9 + 2 + 120 + 10 + 78 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108174268579 + ... + 108174269021.

Almost surely, 2^{47921201078400} is an apocalyptic number.

47921201078400 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 47921201078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101537688672000).

47921201078400 is an abundant number, since it is smaller than the sum of its proper divisors (155154176265600).

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

47921201078400 is a wasteful number, since it uses less digits than its factorization.

47921201078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 47921201078400 in words is "forty-seven trillion, nine hundred twenty-one billion, two hundred one million, seventy-eight thousand, four hundred".