40029087350880 has 288 divisors, whose sum is σ = 143185167084960. Its totient is φ = 10171883151360.

The previous prime is 40029087350851. The next prime is 40029087350927. The reversal of 40029087350880 is 8805378092004.

It is a happy number.

40029087350880 is a `hidden beast` number, since 40 + 0 + 2 + 90 + 8 + 7 + 3 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5344995 + ... + 10422434.

It is an arithmetic number, because the mean of its divisors is an integer number (497170719045).

Almost surely, 2^{40029087350880} is an apocalyptic number.

40029087350880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40029087350880 is an abundant number, since it is smaller than the sum of its proper divisors (103156079734080).

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

40029087350880 is a wasteful number, since it uses less digits than its factorization.

40029087350880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15767534 (or 15767523 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 40029087350880 in words is "forty trillion, twenty-nine billion, eighty-seven million, three hundred fifty thousand, eight hundred eighty".