4285311109632 has 1440 divisors, whose sum is σ = 15930000749520. Its totient is φ = 1100564398080.

The previous prime is 4285311109561. The next prime is 4285311109693. The reversal of 4285311109632 is 2369011135824.

4285311109632 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 3 + 1 + 1 + 1 + 0 + 9 + 632 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3329953433856 + 955357675776 = 1824816^2 + 977424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15250217332 + ... + 15250217612.

Almost surely, 2^{4285311109632} is an apocalyptic number.

4285311109632 is a gapful number since it is divisible by the number (42) 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 4285311109632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7965000374760).

4285311109632 is an abundant number, since it is smaller than the sum of its proper divisors (11644689639888).

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

4285311109632 is a wasteful number, since it uses less digits than its factorization.

4285311109632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 4285311109632 in words is "four trillion, two hundred eighty-five billion, three hundred eleven million, one hundred nine thousand, six hundred thirty-two".