4070086900992 has 720 divisors, whose sum is σ = 14275778711040. Its totient is φ = 1129182695424.

The previous prime is 4070086900991. The next prime is 4070086901051. The reversal of 4070086900992 is 2990096800704.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4070086900991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1117233123 + ... + 1117236765.

It is an arithmetic number, because the mean of its divisors is an integer number (19827470432).

Almost surely, 2^{4070086900992} is an apocalyptic number.

4070086900992 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 4070086900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137889355520).

4070086900992 is an abundant number, since it is smaller than the sum of its proper divisors (10205691810048).

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

4070086900992 is a wasteful number, since it uses less digits than its factorization.

4070086900992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 4070086900992 in words is "four trillion, seventy billion, eighty-six million, nine hundred thousand, nine hundred ninety-two".