4072970312640 has 1344 divisors, whose sum is σ = 16124716137600. Its totient is φ = 965834440704.

The previous prime is 4072970312633. The next prime is 4072970312651. The reversal of 4072970312640 is 462130792704.

4072970312640 is a `hidden beast` number, since 4 + 0 + 7 + 297 + 0 + 312 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3346729312 + ... + 3346730528.

It is an arithmetic number, because the mean of its divisors is an integer number (11997556650).

Almost surely, 2^{4072970312640} is an apocalyptic number.

4072970312640 is a gapful number since it is divisible by the number (40) 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 4072970312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062358068800).

4072970312640 is an abundant number, since it is smaller than the sum of its proper divisors (12051745824960).

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

4072970312640 is a wasteful number, since it uses less digits than its factorization.

4072970312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 4072970312640 in words is "four trillion, seventy-two billion, nine hundred seventy million, three hundred twelve thousand, six hundred forty".