46178190240 has 768 divisors, whose sum is σ = 187931197440. Its totient is φ = 9269821440.

The previous prime is 46178190217. The next prime is 46178190257. The reversal of 46178190240 is 4209187164.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 46178190192 and 46178190201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90723106 + ... + 90723614.

It is an arithmetic number, because the mean of its divisors is an integer number (244702080).

Almost surely, 2^46178190240 is an apocalyptic number.

46178190240 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 46178190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93965598720).

46178190240 is an abundant number, since it is smaller than the sum of its proper divisors (141753007200).

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

46178190240 is a wasteful number, since it uses less digits than its factorization.

46178190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 46178190240 in words is "forty-six billion, one hundred seventy-eight million, one hundred ninety thousand, two hundred forty".