40076824788 has 576 divisors, whose sum is σ = 142944399360. Its totient is φ = 9446595840.

The previous prime is 40076824757. The next prime is 40076824819. The reversal of 40076824788 is 88742867004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40076824757) and next prime (40076824819).

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 191 ways as a sum of consecutive naturals, for example, 79675345 + ... + 79675847.

It is an arithmetic number, because the mean of its divisors is an integer number (248167360).

Almost surely, 2^40076824788 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 40076824788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71472199680).

40076824788 is an abundant number, since it is smaller than the sum of its proper divisors (102867574572).

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

40076824788 is a wasteful number, since it uses less digits than its factorization.

40076824788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 40076824788 in words is "forty billion, seventy-six million, eight hundred twenty-four thousand, seven hundred eighty-eight".