47326701254400 has 2160 divisors, whose sum is σ = 193165346626560. Its totient is φ = 11380447641600.

The previous prime is 47326701254381. The next prime is 47326701254419. The reversal of 47326701254400 is 445210762374.

47326701254400 is a `hidden beast` number, since 4 + 7 + 3 + 26 + 70 + 12 + 544 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47326701254381) and next prime (47326701254419).

It is a tau number, because it is divible by the number of its divisors (2160).

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 239 ways as a sum of consecutive naturals, for example, 29232056791 + ... + 29232058409.

It is an arithmetic number, because the mean of its divisors is an integer number (89428401216).

Almost surely, 2^{47326701254400} is an apocalyptic number.

47326701254400 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 47326701254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96582673313280).

47326701254400 is an abundant number, since it is smaller than the sum of its proper divisors (145838645372160).

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

47326701254400 is a wasteful number, since it uses less digits than its factorization.

47326701254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1812 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 47326701254400 in words is "forty-seven trillion, three hundred twenty-six billion, seven hundred one million, two hundred fifty-four thousand, four hundred".