46597019040 has 1728 divisors, whose sum is σ = 212893349760. Its totient is φ = 9475522560.

The previous prime is 46597019003. The next prime is 46597019081. The reversal of 46597019040 is 4091079564.

46597019040 is a `hidden beast` number, since 4 + 6 + 597 + 0 + 19 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1606793746 + ... + 1606793774.

It is an arithmetic number, because the mean of its divisors is an integer number (123202170).

Almost surely, 2^46597019040 is an apocalyptic number.

46597019040 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 46597019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106446674880).

46597019040 is an abundant number, since it is smaller than the sum of its proper divisors (166296330720).

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

46597019040 is a wasteful number, since it uses less digits than its factorization.

46597019040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 46597019040 in words is "forty-six billion, five hundred ninety-seven million, nineteen thousand, forty".