4070083514112 has 1152 divisors, whose sum is σ = 15347919175680. Its totient is φ = 1033329623040.

The previous prime is 4070083514087. The next prime is 4070083514149. The reversal of 4070083514112 is 2114153800704.

4070083514112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5598463893 + ... + 5598464619.

Almost surely, 2^{4070083514112} is an apocalyptic number.

4070083514112 is a gapful number since it is divisible by the number (42) 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 4070083514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673959587840).

4070083514112 is an abundant number, since it is smaller than the sum of its proper divisors (11277835661568).

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

4070083514112 is a wasteful number, since it uses less digits than its factorization.

4070083514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 4070083514112 in words is "four trillion, seventy billion, eighty-three million, five hundred fourteen thousand, one hundred twelve".