46261740470400 has 3072 divisors, whose sum is σ = 223409050905600. Its totient is φ = 9184409026560.

The previous prime is 46261740470359. The next prime is 46261740470411. The reversal of 46261740470400 is 407404716264.

It is a happy number.

46261740470400 is a `hidden beast` number, since 4 + 6 + 2 + 6 + 174 + 0 + 4 + 70 + 400 = 666.

It is a hoax number, since the sum of its digits (45) 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 (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, 10826522664 + ... + 10826526936.

It is an arithmetic number, because the mean of its divisors is an integer number (72724300425).

Almost surely, 2^{46261740470400} is an apocalyptic number.

46261740470400 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 46261740470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111704525452800).

46261740470400 is an abundant number, since it is smaller than the sum of its proper divisors (177147310435200).

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

46261740470400 is a wasteful number, since it uses less digits than its factorization.

46261740470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4355 (or 4320 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 46261740470400 in words is "forty-six trillion, two hundred sixty-one billion, seven hundred forty million, four hundred seventy thousand, four hundred".