20149066324640 has 384 divisors, whose sum is σ = 53910567567360. Its totient is φ = 7050240000000.

The previous prime is 20149066324631. The next prime is 20149066324661. The reversal of 20149066324640 is 4642366094102.

It is a super-2 number, since 2×20149066324640² (a number of 27 digits) contains 22 as substring.

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, 12585299840 + ... + 12585301440.

It is an arithmetic number, because the mean of its divisors is an integer number (140392103040).

Almost surely, 2^{20149066324640} is an apocalyptic number.

20149066324640 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 20149066324640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26955283783680).

20149066324640 is an abundant number, since it is smaller than the sum of its proper divisors (33761501242720).

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

20149066324640 is a wasteful number, since it uses less digits than its factorization.

20149066324640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 20149066324640 in words is "twenty trillion, one hundred forty-nine billion, sixty-six million, three hundred twenty-four thousand, six hundred forty".