1829312109400 has 24 divisors (see below), whose sum is σ = 4253150654820. Its totient is φ = 731724843680.

The previous prime is 1829312109347. The next prime is 1829312109403. The reversal of 1829312109400 is 49012139281.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829312109403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4573280074 + ... + 4573280473.

Almost surely, 2^{1829312109400} is an apocalyptic number.

1829312109400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1829312109400 is an abundant number, since it is smaller than the sum of its proper divisors (2423838545420).

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

1829312109400 is a wasteful number, since it uses less digits than its factorization.

1829312109400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146560563 (or 9146560554 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 1829312109400 in words is "one trillion, eight hundred twenty-nine billion, three hundred twelve million, one hundred nine thousand, four hundred".