46601942504040 has 512 divisors, whose sum is σ = 194024659046400. Its totient is φ = 9665808122880.

The previous prime is 46601942504021. The next prime is 46601942504101. The reversal of 46601942504040 is 4040524910664.

46601942504040 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 194 + 2 + 50 + 404 + 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, 44976282 + ... + 46000758.

It is an arithmetic number, because the mean of its divisors is an integer number (378954412200).

Almost surely, 2^{46601942504040} is an apocalyptic number.

46601942504040 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 46601942504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97012329523200).

46601942504040 is an abundant number, since it is smaller than the sum of its proper divisors (147422716542360).

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

46601942504040 is a wasteful number, since it uses less digits than its factorization.

46601942504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025062 (or 1025052 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46601942504040 in words is "forty-six trillion, six hundred one billion, nine hundred forty-two million, five hundred four thousand, forty".