20351315040 has 384 divisors, whose sum is σ = 75856435200. Its totient is φ = 4583577600.

The previous prime is 20351315027. The next prime is 20351315051. The reversal of 20351315040 is 4051315302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20351315040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11688570 + ... + 11690310.

It is an arithmetic number, because the mean of its divisors is an integer number (197542800).

Almost surely, 2^20351315040 is an apocalyptic number.

20351315040 is a gapful number since it is divisible by the number (20) 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 20351315040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37928217600).

20351315040 is an abundant number, since it is smaller than the sum of its proper divisors (55505120160).

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

20351315040 is a wasteful number, since it uses less digits than its factorization.

20351315040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 20351315040 in words is "twenty billion, three hundred fifty-one million, three hundred fifteen thousand, forty".