46313384040 has 768 divisors, whose sum is σ = 195672153600. Its totient is φ = 9537454080.

The previous prime is 46313384009. The next prime is 46313384077. The reversal of 46313384040 is 4048331364.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46313383986 and 46313384004.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 180207592 + ... + 180207848.

It is an arithmetic number, because the mean of its divisors is an integer number (254781450).

Almost surely, 2^46313384040 is an apocalyptic number.

46313384040 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 46313384040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97836076800).

46313384040 is an abundant number, since it is smaller than the sum of its proper divisors (149358769560).

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

46313384040 is a wasteful number, since it uses less digits than its factorization.

46313384040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 46313384040 in words is "forty-six billion, three hundred thirteen million, three hundred eighty-four thousand, forty".