10020144040280 has 256 divisors, whose sum is σ = 26532116352000. Its totient is φ = 3366287769600.

The previous prime is 10020144040279. The next prime is 10020144040297. The reversal of 10020144040280 is 8204044102001.

It is a congruent number.

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, 1075233461 + ... + 1075242779.

It is an arithmetic number, because the mean of its divisors is an integer number (103641079500).

Almost surely, 2^{10020144040280} is an apocalyptic number.

10020144040280 is a gapful number since it is divisible by the number (10) 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 10020144040280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13266058176000).

10020144040280 is an abundant number, since it is smaller than the sum of its proper divisors (16511972311720).

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

10020144040280 is a wasteful number, since it uses less digits than its factorization.

10020144040280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12538 (or 12534 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 10020144040280 its reverse (8204044102001), we get a palindrome (18224188142281).

The spelling of 10020144040280 in words is "ten trillion, twenty billion, one hundred forty-four million, forty thousand, two hundred eighty".