46200715600400 has 120 divisors (see below), whose sum is σ = 114001815273984. Its totient is φ = 17980082265600.

The previous prime is 46200715600387. The next prime is 46200715600409. The reversal of 46200715600400 is 400651700264.

It is a super-2 number, since 2×46200715600400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46200715600409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485851259 + ... + 485946341.

Almost surely, 2^{46200715600400} is an apocalyptic number.

46200715600400 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 46200715600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57000907636992).

46200715600400 is an abundant number, since it is smaller than the sum of its proper divisors (67801099673584).

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

46200715600400 is a wasteful number, since it uses less digits than its factorization.

46200715600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127969 (or 127958 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 46200715600400 in words is "forty-six trillion, two hundred billion, seven hundred fifteen million, six hundred thousand, four hundred".