20742595885440 has 1152 divisors, whose sum is σ = 85058171059680. Its totient is φ = 4617189457920.

The previous prime is 20742595885421. The next prime is 20742595885469. The reversal of 20742595885440 is 4458859524702.

20742595885440 is a `hidden beast` number, since 2 + 0 + 7 + 4 + 2 + 5 + 9 + 5 + 88 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2066608102 + ... + 2066618138.

Almost surely, 2^{20742595885440} is an apocalyptic number.

20742595885440 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 20742595885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42529085529840).

20742595885440 is an abundant number, since it is smaller than the sum of its proper divisors (64315575174240).

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

20742595885440 is a wasteful number, since it uses less digits than its factorization.

20742595885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10292 (or 10264 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 63.

The spelling of 20742595885440 in words is "twenty trillion, seven hundred forty-two billion, five hundred ninety-five million, eight hundred eighty-five thousand, four hundred forty".