20734021440 has 896 divisors, whose sum is σ = 86825571840. Its totient is φ = 4600627200.

The previous prime is 20734021433. The next prime is 20734021499. The reversal of 20734021440 is 4412043702.

20734021440 is a `hidden beast` number, since 207 + 3 + 402 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66242724 + ... + 66243036.

It is an arithmetic number, because the mean of its divisors is an integer number (96903540).

Almost surely, 2^20734021440 is an apocalyptic number.

20734021440 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 20734021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43412785920).

20734021440 is an abundant number, since it is smaller than the sum of its proper divisors (66091550400).

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

20734021440 is a wasteful number, since it uses less digits than its factorization.

20734021440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 20734021440 in words is "twenty billion, seven hundred thirty-four million, twenty-one thousand, four hundred forty".