1020508070400 has 1920 divisors, whose sum is σ = 4740164943360. Its totient is φ = 209257758720.

The previous prime is 1020508070377. The next prime is 1020508070419. The reversal of 1020508070400 is 40708050201.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1163634762 + ... + 1163635638.

It is an arithmetic number, because the mean of its divisors is an integer number (2468835908).

Almost surely, 2^{1020508070400} is an apocalyptic number.

1020508070400 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 1020508070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370082471680).

1020508070400 is an abundant number, since it is smaller than the sum of its proper divisors (3719656872960).

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

1020508070400 is a wasteful number, since it uses less digits than its factorization.

1020508070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 1020508070400 in words is "one trillion, twenty billion, five hundred eight million, seventy thousand, four hundred".