46311210240 has 288 divisors, whose sum is σ = 155243402496. Its totient is φ = 11743395840.

The previous prime is 46311210221. The next prime is 46311210251. The reversal of 46311210240 is 4201211364.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 46311210240.

It is a congruent number.

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, 15984472 + ... + 15987368.

It is an arithmetic number, because the mean of its divisors is an integer number (539039592).

Almost surely, 2^46311210240 is an apocalyptic number.

46311210240 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 46311210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77621701248).

46311210240 is an abundant number, since it is smaller than the sum of its proper divisors (108932192256).

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

46311210240 is a wasteful number, since it uses less digits than its factorization.

46311210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3125 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 46311210240 in words is "forty-six billion, three hundred eleven million, two hundred ten thousand, two hundred forty".