4287313551400 has 144 divisors (see below), whose sum is σ = 10959140562300. Its totient is φ = 1558656844800.

The previous prime is 4287313551337. The next prime is 4287313551403. The reversal of 4287313551400 is 41553137824.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1810838514276 + 2476475037124 = 1345674^2 + 1573682^2 .

It is not an unprimeable number, because it can be changed into a prime (4287313551403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 116456196 + ... + 116493004.

Almost surely, 2^{4287313551400} is an apocalyptic number.

4287313551400 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 4287313551400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5479570281150).

4287313551400 is an abundant number, since it is smaller than the sum of its proper divisors (6671827010900).

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

4287313551400 is a wasteful number, since it uses less digits than its factorization.

4287313551400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41660 (or 41640 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 4287313551400 in words is "four trillion, two hundred eighty-seven billion, three hundred thirteen million, five hundred fifty-one thousand, four hundred".