4070688687072 has 216 divisors, whose sum is σ = 13467854659896. Its totient is φ = 1162892312064.

The previous prime is 4070688687049. The next prime is 4070688687073. The reversal of 4070688687072 is 2707868860704.

4070688687072 is a `hidden beast` number, since 407 + 0 + 6 + 8 + 86 + 87 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4070688687073) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132679798 + ... + 132710474.

It is an arithmetic number, because the mean of its divisors is an integer number (62351178981).

Almost surely, 2^{4070688687072} is an apocalyptic number.

4070688687072 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 4070688687072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6733927329948).

4070688687072 is an abundant number, since it is smaller than the sum of its proper divisors (9397165972824).

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

4070688687072 is a wasteful number, since it uses less digits than its factorization.

4070688687072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40110 (or 40092 counting only the distinct ones).

The product of its (nonzero) digits is 50577408, while the sum is 63.

The spelling of 4070688687072 in words is "four trillion, seventy billion, six hundred eighty-eight million, six hundred eighty-seven thousand, seventy-two".