4312361772400 has 120 divisors (see below), whose sum is σ = 11305822238208. Its totient is φ = 1567644000000.

The previous prime is 4312361772391. The next prime is 4312361772421. The reversal of 4312361772400 is 42771632134.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14153665 + ... + 14455135.

Almost surely, 2^{4312361772400} is an apocalyptic number.

4312361772400 is a gapful number since it is divisible by the number (40) 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 4312361772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652911119104).

4312361772400 is an abundant number, since it is smaller than the sum of its proper divisors (6993460465808).

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

4312361772400 is a wasteful number, since it uses less digits than its factorization.

4312361772400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304751 (or 304740 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The spelling of 4312361772400 in words is "four trillion, three hundred twelve billion, three hundred sixty-one million, seven hundred seventy-two thousand, four hundred".