40093734456000 has 784 divisors, whose sum is σ = 157627552867200. Its totient is φ = 10062716313600.

The previous prime is 40093734455993. The next prime is 40093734456011. The reversal of 40093734456000 is 65443739004.

40093734456000 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 3 + 7 + 34 + 4 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 98941801 + ... + 99346199.

Almost surely, 2^{40093734456000} is an apocalyptic number.

40093734456000 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 40093734456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78813776433600).

40093734456000 is an abundant number, since it is smaller than the sum of its proper divisors (117533818411200).

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

40093734456000 is an equidigital number, since it uses as much as digits as its factorization.

40093734456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404461 (or 404426 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 40093734456000 in words is "forty trillion, ninety-three billion, seven hundred thirty-four million, four hundred fifty-six thousand".