1020904997400 has 960 divisors, whose sum is σ = 3867647097600. Its totient is φ = 248793431040.

The previous prime is 1020904997383. The next prime is 1020904997417. The reversal of 1020904997400 is 47994090201.

It is a happy number.

1020904997400 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 90 + 499 + 74 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1020904997383) and next prime (1020904997417).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1156177359 + ... + 1156178241.

It is an arithmetic number, because the mean of its divisors is an integer number (4028799060).

Almost surely, 2^{1020904997400} is an apocalyptic number.

1020904997400 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 1020904997400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933823548800).

1020904997400 is an abundant number, since it is smaller than the sum of its proper divisors (2846742100200).

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

1020904997400 is a wasteful number, since it uses less digits than its factorization.

1020904997400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1020904997400 in words is "one trillion, twenty billion, nine hundred four million, nine hundred ninety-seven thousand, four hundred".