1865901360400 has 405 divisors, whose sum is σ = 5738349836037. Its totient is φ = 580923974400.

The previous prime is 1865901360371. The next prime is 1865901360419. The reversal of 1865901360400 is 40631095681.

The square root of 1865901360400 is 1365980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 671724489744 + 1194176870656 = 819588^2 + 1092784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2103608757 + ... + 2103609643.

Almost surely, 2^{1865901360400} is an apocalyptic number.

1865901360400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1865901360400 is the 1365980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1865901360400

1865901360400 is an abundant number, since it is smaller than the sum of its proper divisors (3872448475637).

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

1865901360400 is an equidigital number, since it uses as much as digits as its factorization.

1865901360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 1865901360400 in words is "one trillion, eight hundred sixty-five billion, nine hundred one million, three hundred sixty thousand, four hundred".