20042951040 has 1344 divisors, whose sum is σ = 91748518560. Its totient is φ = 4084826112.

The previous prime is 20042951009. The next prime is 20042951069. The reversal of 20042951040 is 4015924002.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 20042950995 and 20042951013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1054892151 + ... + 1054892169.

Almost surely, 2^20042951040 is an apocalyptic number.

20042951040 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 20042951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45874259280).

20042951040 is an abundant number, since it is smaller than the sum of its proper divisors (71705567520).

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

20042951040 is an equidigital number, since it uses as much as digits as its factorization.

20042951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20042951040 in words is "twenty billion, forty-two million, nine hundred fifty-one thousand, forty".