39791270400 has 480 divisors, whose sum is σ = 151248176640. Its totient is φ = 9033400320.

The previous prime is 39791270399. The next prime is 39791270447. The reversal of 39791270400 is 407219793.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 48114787 + ... + 48115613.

It is an arithmetic number, because the mean of its divisors is an integer number (315100368).

Almost surely, 2^39791270400 is an apocalyptic number.

39791270400 is a gapful number since it is divisible by the number (30) 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 39791270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75624088320).

39791270400 is an abundant number, since it is smaller than the sum of its proper divisors (111456906240).

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

39791270400 is a wasteful number, since it uses less digits than its factorization.

39791270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 39791270400 in words is "thirty-nine billion, seven hundred ninety-one million, two hundred seventy thousand, four hundred".