40481420205744 has 480 divisors, whose sum is σ = 135542948696064. Its totient is φ = 11456742850560.

The previous prime is 40481420205703. The next prime is 40481420205803. The reversal of 40481420205744 is 44750202418404.

40481420205744 is a `hidden beast` number, since 4 + 0 + 48 + 14 + 2 + 0 + 20 + 574 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40481420205744.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6990399489 + ... + 6990405279.

Almost surely, 2^{40481420205744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40481420205744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67771474348032).

40481420205744 is an abundant number, since it is smaller than the sum of its proper divisors (95061528490320).

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

40481420205744 is a wasteful number, since it uses less digits than its factorization.

40481420205744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8207 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 40481420205744 in words is "forty trillion, four hundred eighty-one billion, four hundred twenty million, two hundred five thousand, seven hundred forty-four".