40205942784000 has 1680 divisors, whose sum is σ = 171644125388736. Its totient is φ = 9172942848000.

The previous prime is 40205942783999. The next prime is 40205942784017. The reversal of 40205942784000 is 48724950204.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74317823730 + ... + 74317824270.

Almost surely, 2^{40205942784000} is an apocalyptic number.

40205942784000 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 40205942784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85822062694368).

40205942784000 is an abundant number, since it is smaller than the sum of its proper divisors (131438182604736).

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

40205942784000 is an frugal number, since it uses more digits than its factorization.

40205942784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40205942784000 in words is "forty trillion, two hundred five billion, nine hundred forty-two million, seven hundred eighty-four thousand".