39121795426560 has 1728 divisors, whose sum is σ = 161266816843776. Its totient is φ = 7908593172480.

The previous prime is 39121795426541. The next prime is 39121795426591. The reversal of 39121795426560 is 6562459712193.

It is a happy number.

It is a super-2 number, since 2×39121795426560² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 39121795426494 and 39121795426503.

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, 21892441987 + ... + 21892443773.

It is an arithmetic number, because the mean of its divisors is an integer number (93325704192).

Almost surely, 2^{39121795426560} is an apocalyptic number.

39121795426560 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 39121795426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80633408421888).

39121795426560 is an abundant number, since it is smaller than the sum of its proper divisors (122145021417216).

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

39121795426560 is a wasteful number, since it uses less digits than its factorization.

39121795426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 60.

The spelling of 39121795426560 in words is "thirty-nine trillion, one hundred twenty-one billion, seven hundred ninety-five million, four hundred twenty-six thousand, five hundred sixty".