46193293440 has 1024 divisors, whose sum is σ = 196529356800. Its totient is φ = 10032906240.

The previous prime is 46193293439. The next prime is 46193293459. The reversal of 46193293440 is 4439239164.

46193293440 is a `hidden beast` number, since 4 + 619 + 3 + 29 + 3 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 363726657 + ... + 363726783.

It is an arithmetic number, because the mean of its divisors is an integer number (191923200).

Almost surely, 2^46193293440 is an apocalyptic number.

46193293440 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 46193293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98264678400).

46193293440 is an abundant number, since it is smaller than the sum of its proper divisors (150336063360).

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

46193293440 is a wasteful number, since it uses less digits than its factorization.

46193293440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 46193293440 in words is "forty-six billion, one hundred ninety-three million, two hundred ninety-three thousand, four hundred forty".