1026610413400 has 384 divisors, whose sum is σ = 2866204051200. Its totient is φ = 337013913600.

The previous prime is 1026610413371. The next prime is 1026610413427. The reversal of 1026610413400 is 43140166201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 574487307 + ... + 574489093.

It is an arithmetic number, because the mean of its divisors is an integer number (7464073050).

Almost surely, 2^{1026610413400} is an apocalyptic number.

1026610413400 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 1026610413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433102025600).

1026610413400 is an abundant number, since it is smaller than the sum of its proper divisors (1839593637800).

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

1026610413400 is a wasteful number, since it uses less digits than its factorization.

1026610413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1026610413400 its reverse (43140166201), we get a palindrome (1069750579601).

The spelling of 1026610413400 in words is "one trillion, twenty-six billion, six hundred ten million, four hundred thirteen thousand, four hundred".