39840498238464 has 1936 divisors, whose sum is σ = 153169784908800. Its totient is φ = 10056734392320.

The previous prime is 39840498238451. The next prime is 39840498238469. The reversal of 39840498238464 is 46483289404893.

39840498238464 is a `hidden beast` number, since 3 + 9 + 8 + 40 + 4 + 98 + 2 + 38 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39840498238392 and 39840498238401.

It is not an unprimeable number, because it can be changed into a prime (39840498238469) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 200203508637 + ... + 200203508835.

Almost surely, 2^{39840498238464} 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 39840498238464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76584892454400).

39840498238464 is an abundant number, since it is smaller than the sum of its proper divisors (113329286670336).

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

39840498238464 is an equidigital number, since it uses as much as digits as its factorization.

39840498238464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 39840498238464 in words is "thirty-nine trillion, eight hundred forty billion, four hundred ninety-eight million, two hundred thirty-eight thousand, four hundred sixty-four".