46082690519040 has 6656 divisors, whose sum is σ = 228276486144000. Its totient is φ = 8561413324800.

The previous prime is 46082690518979. The next prime is 46082690519053. The reversal of 46082690519040 is 4091509628064.

46082690519040 is a `hidden beast` number, since 4 + 6 + 0 + 82 + 6 + 9 + 0 + 519 + 0 + 40 = 666.

It is a super-2 number, since 2×46082690519040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1123968061420 + ... + 1123968061460.

Almost surely, 2^{46082690519040} is an apocalyptic number.

46082690519040 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 46082690519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114138243072000).

46082690519040 is an abundant number, since it is smaller than the sum of its proper divisors (182193795624960).

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

46082690519040 is a wasteful number, since it uses less digits than its factorization.

46082690519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 46082690519040 in words is "forty-six trillion, eighty-two billion, six hundred ninety million, five hundred nineteen thousand, forty".