40770318934800 has 2400 divisors, whose sum is σ = 188272520620800. Its totient is φ = 8391062937600.

The previous prime is 40770318934799. The next prime is 40770318934859. The reversal of 40770318934800 is 843981307704.

40770318934800 is a `hidden beast` number, since 4 + 0 + 7 + 70 + 3 + 1 + 8 + 93 + 480 + 0 = 666.

It is a super-2 number, since 2×40770318934800² (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 479 ways as a sum of consecutive naturals, for example, 5923332159 + ... + 5923339041.

It is an arithmetic number, because the mean of its divisors is an integer number (78446883592).

Almost surely, 2^{40770318934800} is an apocalyptic number.

40770318934800 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 40770318934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94136260310400).

40770318934800 is an abundant number, since it is smaller than the sum of its proper divisors (147502201686000).

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

40770318934800 is a wasteful number, since it uses less digits than its factorization.

40770318934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6988 (or 6954 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40770318934800 in words is "forty trillion, seven hundred seventy billion, three hundred eighteen million, nine hundred thirty-four thousand, eight hundred".