1020140304000 has 256 divisors, whose sum is σ = 3395278373760. Its totient is φ = 270950400000.

The previous prime is 1020140303977. The next prime is 1020140304017. The reversal of 1020140304000 is 4030410201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12005664 + ... + 12090336.

Almost surely, 2^{1020140304000} is an apocalyptic number.

1020140304000 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 1020140304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697639186880).

1020140304000 is an abundant number, since it is smaller than the sum of its proper divisors (2375138069760).

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

1020140304000 is an equidigital number, since it uses as much as digits as its factorization.

1020140304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84956 (or 84934 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 1020140304000 its reverse (4030410201), we get a palindrome (1024170714201).

The spelling of 1020140304000 in words is "one trillion, twenty billion, one hundred forty million, three hundred four thousand".