8401555600 has 45 divisors (see below), whose sum is σ = 20189142553. Its totient is φ = 3359888960.

The previous prime is 8401555597. The next prime is 8401555607. The reversal of 8401555600 is 65551048.

It is a happy number.

The square root of 8401555600 is 91660.

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., 3024560016 + 5376995584 = 54996^2 + 73328^2 .

It is a super-2 number, since 2×8401555600² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8401555607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1830909 + ... + 1835491.

Almost surely, 2^8401555600 is an apocalyptic number.

8401555600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8401555600 is the 91660-th square number.

It is an amenable number.

8401555600 is an abundant number, since it is smaller than the sum of its proper divisors (11787586953).

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

8401555600 is an frugal number, since it uses more digits than its factorization.

8401555600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9184 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The cubic root of 8401555600 is about 2032.9181905012.

It can be divided in two parts, 8401 and 555600, that added together give a square (564001 = 751²).

The spelling of 8401555600 in words is "eight billion, four hundred one million, five hundred fifty-five thousand, six hundred".