20402604829440 has 360 divisors, whose sum is σ = 74702040716688. Its totient is φ = 5314165678080.

The previous prime is 20402604829423. The next prime is 20402604829499. The reversal of 20402604829440 is 4492840620402.

20402604829440 is a `hidden beast` number, since 2 + 0 + 40 + 2 + 6 + 0 + 482 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×20402604829440² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2170050 + ... + 6746430.

Almost surely, 2^{20402604829440} is an apocalyptic number.

20402604829440 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 20402604829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37351020358344).

20402604829440 is an abundant number, since it is smaller than the sum of its proper divisors (54299435887248).

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

20402604829440 is an equidigital number, since it uses as much as digits as its factorization.

20402604829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576457 (or 4576434 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 20402604829440 in words is "twenty trillion, four hundred two billion, six hundred four million, eight hundred twenty-nine thousand, four hundred forty".