46400122560 has 224 divisors, whose sum is σ = 161095334400. Its totient is φ = 11221770240.

The previous prime is 46400122553. The next prime is 46400122577. The reversal of 46400122560 is 6522100464.

46400122560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4630836 + ... + 4640844.

It is an arithmetic number, because the mean of its divisors is an integer number (719175600).

Almost surely, 2^46400122560 is an apocalyptic number.

46400122560 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 46400122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80547667200).

46400122560 is an abundant number, since it is smaller than the sum of its proper divisors (114695211840).

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

46400122560 is a wasteful number, since it uses less digits than its factorization.

46400122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10479 (or 10469 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 46400122560 in words is "forty-six billion, four hundred million, one hundred twenty-two thousand, five hundred sixty".