40402762416 has 240 divisors, whose sum is σ = 123609900960. Its totient is φ = 12755957760.

The previous prime is 40402762381. The next prime is 40402762423. The reversal of 40402762416 is 61426720404.

40402762416 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 27 + 624 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5972476 + ... + 5979236.

It is an arithmetic number, because the mean of its divisors is an integer number (515041254).

Almost surely, 2^40402762416 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 40402762416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61804950480).

40402762416 is an abundant number, since it is smaller than the sum of its proper divisors (83207138544).

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

40402762416 is a wasteful number, since it uses less digits than its factorization.

40402762416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6848 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40402762416 in words is "forty billion, four hundred two million, seven hundred sixty-two thousand, four hundred sixteen".