1129434398400 has 504 divisors, whose sum is σ = 4702334406336. Its totient is φ = 234687129600.

The previous prime is 1129434398383. The next prime is 1129434398447. The reversal of 1129434398400 is 48934349211.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1129434398400.

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, 2368927 + ... + 2805473.

It is an arithmetic number, because the mean of its divisors is an integer number (9330028584).

Almost surely, 2^{1129434398400} is an apocalyptic number.

1129434398400 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 1129434398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351167203168).

1129434398400 is an abundant number, since it is smaller than the sum of its proper divisors (3572900007936).

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

1129434398400 is a wasteful number, since it uses less digits than its factorization.

1129434398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436597 (or 436575 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 1129434398400 in words is "one trillion, one hundred twenty-nine billion, four hundred thirty-four million, three hundred ninety-eight thousand, four hundred".