39421305117040 has 480 divisors, whose sum is σ = 117059300100288. Its totient is φ = 12208250880000.

The previous prime is 39421305116951. The next prime is 39421305117151. The reversal of 39421305117040 is 4071150312493.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 39421305116984 and 39421305117002.

It is a congruent number.

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, 14836771392 + ... + 14836774048.

Almost surely, 2^{39421305117040} 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 39421305117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58529650050144).

39421305117040 is an abundant number, since it is smaller than the sum of its proper divisors (77637994983248).

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

39421305117040 is a wasteful number, since it uses less digits than its factorization.

39421305117040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 39421305117040 in words is "thirty-nine trillion, four hundred twenty-one billion, three hundred five million, one hundred seventeen thousand, forty".