40042799496000 has 1792 divisors, whose sum is σ = 171952437196800. Its totient is φ = 8934064128000.

The previous prime is 40042799495989. The next prime is 40042799496013. The reversal of 40042799496000 is 69499724004.

40042799496000 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 27 + 9 + 9 + 4 + 9 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 255 ways as a sum of consecutive naturals, for example, 12635782416 + ... + 12635785584.

Almost surely, 2^{40042799496000} is an apocalyptic number.

40042799496000 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 40042799496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85976218598400).

40042799496000 is an abundant number, since it is smaller than the sum of its proper divisors (131909637700800).

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

40042799496000 is a wasteful number, since it uses less digits than its factorization.

40042799496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 40042799496000 in words is "forty trillion, forty-two billion, seven hundred ninety-nine million, four hundred ninety-six thousand".