46685417819040 has 3456 divisors, whose sum is σ = 227565059904000. Its totient is φ = 8556396871680.

The previous prime is 46685417818979. The next prime is 46685417819059. The reversal of 46685417819040 is 4091871458664.

46685417819040 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 541 + 7 + 81 + 9 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 30139068186 + ... + 30139069734.

It is an arithmetic number, because the mean of its divisors is an integer number (65846371500).

Almost surely, 2^{46685417819040} is an apocalyptic number.

46685417819040 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 46685417819040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113782529952000).

46685417819040 is an abundant number, since it is smaller than the sum of its proper divisors (180879642084960).

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

46685417819040 is a wasteful number, since it uses less digits than its factorization.

46685417819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 46685417819040 in words is "forty-six trillion, six hundred eighty-five billion, four hundred seventeen million, eight hundred nineteen thousand, forty".