20001751440 has 160 divisors (see below), whose sum is σ = 71202585600. Its totient is φ = 4593692160.

The previous prime is 20001751423. The next prime is 20001751457. The reversal of 20001751440 is 4415710002.

It is an interprime number because it is at equal distance from previous prime (20001751423) and next prime (20001751457).

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 20001751440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149220 + ... + 249539.

It is an arithmetic number, because the mean of its divisors is an integer number (445016160).

Almost surely, 2^20001751440 is an apocalyptic number.

20001751440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001751440 is an abundant number, since it is smaller than the sum of its proper divisors (51200834160).

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

20001751440 is a wasteful number, since it uses less digits than its factorization.

20001751440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398805 (or 398799 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 20001751440 in words is "twenty billion, one million, seven hundred fifty-one thousand, four hundred forty".