46572212207400 has 384 divisors, whose sum is σ = 159505790976000. Its totient is φ = 11147268121600.

The previous prime is 46572212207377. The next prime is 46572212207501. The reversal of 46572212207400 is 470221227564.

It is a happy number.

It is a super-3 number, since 3×46572212207400³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 164086009 + ... + 164369591.

It is an arithmetic number, because the mean of its divisors is an integer number (415379664000).

Almost surely, 2^{46572212207400} is an apocalyptic number.

46572212207400 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 46572212207400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79752895488000).

46572212207400 is an abundant number, since it is smaller than the sum of its proper divisors (112933578768600).

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

46572212207400 is a wasteful number, since it uses less digits than its factorization.

46572212207400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283929 (or 283920 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 46572212207400 in words is "forty-six trillion, five hundred seventy-two billion, two hundred twelve million, two hundred seven thousand, four hundred".