1010402044200 has 288 divisors, whose sum is σ = 3512735717400. Its totient is φ = 259967232000.

The previous prime is 1010402044139. The next prime is 1010402044217. The reversal of 1010402044200 is 24402040101.

1010402044200 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 40 + 204 + 420 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 77443097796 + 932958946404 = 278286^2 + 965898^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84610230 + ... + 84622170.

Almost surely, 2^{1010402044200} is an apocalyptic number.

1010402044200 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 1010402044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756367858700).

1010402044200 is an abundant number, since it is smaller than the sum of its proper divisors (2502333673200).

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

1010402044200 is a wasteful number, since it uses less digits than its factorization.

1010402044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13613 (or 13601 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 1010402044200 its reverse (24402040101), we get a palindrome (1034804084301).

The spelling of 1010402044200 in words is "one trillion, ten billion, four hundred two million, forty-four thousand, two hundred".