39463978139040 has 1152 divisors, whose sum is σ = 162814786283520. Its totient is φ = 7949110321152.

The previous prime is 39463978139021. The next prime is 39463978139041. The reversal of 39463978139040 is 4093187936493.

It is not an unprimeable number, because it can be changed into a prime (39463978139041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3846761431 + ... + 3846771689.

It is an arithmetic number, because the mean of its divisors is an integer number (141332279760).

Almost surely, 2^{39463978139040} is an apocalyptic number.

39463978139040 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 39463978139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81407393141760).

39463978139040 is an abundant number, since it is smaller than the sum of its proper divisors (123350808144480).

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

39463978139040 is a wasteful number, since it uses less digits than its factorization.

39463978139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10874 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 66.

The spelling of 39463978139040 in words is "thirty-nine trillion, four hundred sixty-three billion, nine hundred seventy-eight million, one hundred thirty-nine thousand, forty".