1020431755200 has 672 divisors, whose sum is σ = 3940240308480. Its totient is φ = 227937484800.

The previous prime is 1020431755163. The next prime is 1020431755237. The reversal of 1020431755200 is 25571340201.

It is an interprime number because it is at equal distance from previous prime (1020431755163) and next prime (1020431755237).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540195856 + ... + 540197744.

It is an arithmetic number, because the mean of its divisors is an integer number (5863452840).

Almost surely, 2^{1020431755200} is an apocalyptic number.

1020431755200 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 1020431755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970120154240).

1020431755200 is an abundant number, since it is smaller than the sum of its proper divisors (2919808553280).

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

1020431755200 is a wasteful number, since it uses less digits than its factorization.

1020431755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 1020431755200 in words is "one trillion, twenty billion, four hundred thirty-one million, seven hundred fifty-five thousand, two hundred".