1102023014400 has 4320 divisors, whose sum is σ = 5673497029200. Its totient is φ = 208089907200.

The previous prime is 1102023014329. The next prime is 1102023014423. The reversal of 1102023014400 is 44103202011.

1102023014400 is a `hidden beast` number, since 1 + 1 + 0 + 20 + 230 + 14 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 38000793586 + ... + 38000793614.

Almost surely, 2^{1102023014400} is an apocalyptic number.

1102023014400 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 1102023014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836748514600).

1102023014400 is an abundant number, since it is smaller than the sum of its proper divisors (4571474014800).

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

1102023014400 is a wasteful number, since it uses less digits than its factorization.

1102023014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1102023014400 its reverse (44103202011), we get a palindrome (1146126216411).

The spelling of 1102023014400 in words is "one trillion, one hundred two billion, twenty-three million, fourteen thousand, four hundred".