1020040868448 has 384 divisors, whose sum is σ = 3551743641600. Its totient is φ = 278472370176.

The previous prime is 1020040868381. The next prime is 1020040868453. The reversal of 1020040868448 is 8448680400201.

1020040868448 is a `hidden beast` number, since 102 + 0 + 0 + 40 + 8 + 68 + 448 = 666.

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, 152037318 + ... + 152044026.

It is an arithmetic number, because the mean of its divisors is an integer number (9249332400).

Almost surely, 2^{1020040868448} is an apocalyptic number.

1020040868448 is a gapful number since it is divisible by the number (18) 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 1020040868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775871820800).

1020040868448 is an abundant number, since it is smaller than the sum of its proper divisors (2531702773152).

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

1020040868448 is a wasteful number, since it uses less digits than its factorization.

1020040868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7851 (or 7837 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 1020040868448 in words is "one trillion, twenty billion, forty million, eight hundred sixty-eight thousand, four hundred forty-eight".