1020414032400 has 240 divisors, whose sum is σ = 3738345353600. Its totient is φ = 233071534080.

The previous prime is 1020414032377. The next prime is 1020414032437. The reversal of 1020414032400 is 42304140201.

1020414032400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11961096 + ... + 12046104.

Almost surely, 2^{1020414032400} is an apocalyptic number.

1020414032400 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 1020414032400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869172676800).

1020414032400 is an abundant number, since it is smaller than the sum of its proper divisors (2717931321200).

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

1020414032400 is a wasteful number, since it uses less digits than its factorization.

1020414032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86466 (or 86455 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1020414032400 its reverse (42304140201), we get a palindrome (1062718172601).

The spelling of 1020414032400 in words is "one trillion, twenty billion, four hundred fourteen million, thirty-two thousand, four hundred".