40824405762 has 96 divisors (see below), whose sum is σ = 96089370624. Its totient is φ = 11528244000.

The previous prime is 40824405709. The next prime is 40824405767. The reversal of 40824405762 is 26750442804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (40824405767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20923887 + ... + 20925837.

It is an arithmetic number, because the mean of its divisors is an integer number (1000930944).

Almost surely, 2^40824405762 is an apocalyptic number.

40824405762 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40824405762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48044685312).

40824405762 is an abundant number, since it is smaller than the sum of its proper divisors (55264964862).

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

40824405762 is a wasteful number, since it uses less digits than its factorization.

40824405762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2764 (or 2757 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 40824405762 in words is "forty billion, eight hundred twenty-four million, four hundred five thousand, seven hundred sixty-two".