40803875159040 has 704 divisors, whose sum is σ = 169579511608320. Its totient is φ = 9109693071360.

The previous prime is 40803875159017. The next prime is 40803875159053. The reversal of 40803875159040 is 4095157830804.

40803875159040 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 3 + 8 + 7 + 5 + 1 + 590 + 40 = 666.

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

It is a congruent number.

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, 41119930 + ... + 42100550.

It is an arithmetic number, because the mean of its divisors is an integer number (240879988080).

Almost surely, 2^{40803875159040} is an apocalyptic number.

40803875159040 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 40803875159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84789755804160).

40803875159040 is an abundant number, since it is smaller than the sum of its proper divisors (128775636449280).

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

40803875159040 is a wasteful number, since it uses less digits than its factorization.

40803875159040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980705 (or 980681 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 40803875159040 in words is "forty trillion, eight hundred three billion, eight hundred seventy-five million, one hundred fifty-nine thousand, forty".