40699170293040 has 320 divisors, whose sum is σ = 160582638720000. Its totient is φ = 9281181782016.

The previous prime is 40699170292997. The next prime is 40699170293051. The reversal of 40699170293040 is 4039207199604.

40699170293040 is a `hidden beast` number, since 406 + 9 + 9 + 170 + 29 + 3 + 0 + 40 = 666.

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 63 ways as a sum of consecutive naturals, for example, 3438711 + ... + 9655209.

It is an arithmetic number, because the mean of its divisors is an integer number (501820746000).

Almost surely, 2^{40699170293040} is an apocalyptic number.

40699170293040 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 40699170293040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80291319360000).

40699170293040 is an abundant number, since it is smaller than the sum of its proper divisors (119883468426960).

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

40699170293040 is a wasteful number, since it uses less digits than its factorization.

40699170293040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216961 (or 6216949 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 40699170293040 in words is "forty trillion, six hundred ninety-nine billion, one hundred seventy million, two hundred ninety-three thousand, forty".