20214001440 has 96 divisors (see below), whose sum is σ = 70749020160. Its totient is φ = 5390399232.

The previous prime is 20214001429. The next prime is 20214001459. The reversal of 20214001440 is 4410041202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2335264 + ... + 2343903.

It is an arithmetic number, because the mean of its divisors is an integer number (736968960).

Almost surely, 2^20214001440 is an apocalyptic number.

20214001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20214001440 is an abundant number, since it is smaller than the sum of its proper divisors (50535018720).

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

20214001440 is a wasteful number, since it uses less digits than its factorization.

20214001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4679191 (or 4679177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20214001440 its reverse (4410041202), we get a palindrome (24624042642).

The spelling of 20214001440 in words is "twenty billion, two hundred fourteen million, one thousand, four hundred forty".