40079639600 has 480 divisors, whose sum is σ = 133498122240. Its totient is φ = 11155968000.

The previous prime is 40079639599. The next prime is 40079639629. The reversal of 40079639600 is 693697004.

It is a Cunningham number, because it is equal to 200199²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 12410786 + ... + 12414014.

It is an arithmetic number, because the mean of its divisors is an integer number (278121088).

Almost surely, 2^40079639600 is an apocalyptic number.

40079639600 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 40079639600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66749061120).

40079639600 is an abundant number, since it is smaller than the sum of its proper divisors (93418482640).

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

40079639600 is a wasteful number, since it uses less digits than its factorization.

40079639600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 44.

The spelling of 40079639600 in words is "forty billion, seventy-nine million, six hundred thirty-nine thousand, six hundred".