46074601440 has 960 divisors, whose sum is σ = 195480552960. Its totient is φ = 9998069760.

The previous prime is 46074601421. The next prime is 46074601451. The reversal of 46074601440 is 4410647064.

46074601440 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 4 + 601 + 4 + 40 = 666.

46074601440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 46074601395 and 46074601404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 218362935 + ... + 218363145.

It is an arithmetic number, because the mean of its divisors is an integer number (203625576).

Almost surely, 2^46074601440 is an apocalyptic number.

46074601440 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 46074601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97740276480).

46074601440 is an abundant number, since it is smaller than the sum of its proper divisors (149405951520).

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

46074601440 is a wasteful number, since it uses less digits than its factorization.

46074601440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 46074601440 in words is "forty-six billion, seventy-four million, six hundred one thousand, four hundred forty".