40467985871040 has 2688 divisors, whose sum is σ = 190955646056448. Its totient is φ = 7914529751040.

The previous prime is 40467985871021. The next prime is 40467985871083. The reversal of 40467985871040 is 4017858976404.

40467985871040 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 7 + 9 + 8 + 587 + 1 + 0 + 40 = 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 383 ways as a sum of consecutive naturals, for example, 8059743730 + ... + 8059748750.

It is an arithmetic number, because the mean of its divisors is an integer number (71040046896).

Almost surely, 2^{40467985871040} is an apocalyptic number.

40467985871040 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 40467985871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95477823028224).

40467985871040 is an abundant number, since it is smaller than the sum of its proper divisors (150487660185408).

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

40467985871040 is a wasteful number, since it uses less digits than its factorization.

40467985871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5157 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 40467985871040 in words is "forty trillion, four hundred sixty-seven billion, nine hundred eighty-five million, eight hundred seventy-one thousand, forty".