20126732337040 has 320 divisors, whose sum is σ = 55256063385600. Its totient is φ = 6675683309568.

The previous prime is 20126732337017. The next prime is 20126732337083. The reversal of 20126732337040 is 4073323762102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 20126732336984 and 20126732337002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801306562 + ... + 801331678.

It is an arithmetic number, because the mean of its divisors is an integer number (172675198080).

Almost surely, 2^{20126732337040} is an apocalyptic number.

20126732337040 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 20126732337040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27628031692800).

20126732337040 is an abundant number, since it is smaller than the sum of its proper divisors (35129331048560).

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

20126732337040 is a wasteful number, since it uses less digits than its factorization.

20126732337040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25582 (or 25576 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 40.

The spelling of 20126732337040 in words is "twenty trillion, one hundred twenty-six billion, seven hundred thirty-two million, three hundred thirty-seven thousand, forty".