1135004200400 has 240 divisors, whose sum is σ = 3248414576256. Its totient is φ = 372973455360.

The previous prime is 1135004200397. The next prime is 1135004200417. The reversal of 1135004200400 is 40024005311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 6859442 + ... + 7022958.

Almost surely, 2^{1135004200400} is an apocalyptic number.

1135004200400 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 1135004200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624207288128).

1135004200400 is an abundant number, since it is smaller than the sum of its proper divisors (2113410375856).

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

1135004200400 is a wasteful number, since it uses less digits than its factorization.

1135004200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163646 (or 163635 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 1135004200400 its reverse (40024005311), we get a palindrome (1175028205711).

The spelling of 1135004200400 in words is "one trillion, one hundred thirty-five billion, four million, two hundred thousand, four hundred".