1020114210400 has 288 divisors, whose sum is σ = 2697566094720. Its totient is φ = 375427584000.

The previous prime is 1020114210389. The next prime is 1020114210421. The reversal of 1020114210400 is 40124110201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141462795 + ... + 141470005.

It is an arithmetic number, because the mean of its divisors is an integer number (9366548940).

Almost surely, 2^{1020114210400} is an apocalyptic number.

1020114210400 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 1020114210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348783047360).

1020114210400 is an abundant number, since it is smaller than the sum of its proper divisors (1677451884320).

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

1020114210400 is a wasteful number, since it uses less digits than its factorization.

1020114210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1020114210400 its reverse (40124110201), we get a palindrome (1060238320601).

The spelling of 1020114210400 in words is "one trillion, twenty billion, one hundred fourteen million, two hundred ten thousand, four hundred".