39216146040 has 384 divisors, whose sum is σ = 139137523200. Its totient is φ = 9541877760.

The previous prime is 39216146009. The next prime is 39216146069. The reversal of 39216146040 is 4064161293.

39216146040 is a `hidden beast` number, since 39 + 2 + 1 + 6 + 14 + 604 + 0 = 666.

39216146040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×39216146040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39216145986 and 39216146004.

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, 27251641 + ... + 27253079.

It is an arithmetic number, because the mean of its divisors is an integer number (362337300).

Almost surely, 2^39216146040 is an apocalyptic number.

39216146040 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 39216146040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69568761600).

39216146040 is an abundant number, since it is smaller than the sum of its proper divisors (99921377160).

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

39216146040 is a wasteful number, since it uses less digits than its factorization.

39216146040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 39216146040 in words is "thirty-nine billion, two hundred sixteen million, one hundred forty-six thousand, forty".