4256142133760 has 320 divisors, whose sum is σ = 11460401023104. Its totient is φ = 1502296473600.

The previous prime is 4256142133741. The next prime is 4256142133799. The reversal of 4256142133760 is 673312416524.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4256142133760² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461565950 + ... + 461575170.

Almost surely, 2^{4256142133760} is an apocalyptic number.

4256142133760 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 4256142133760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730200511552).

4256142133760 is an abundant number, since it is smaller than the sum of its proper divisors (7204258889344).

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

4256142133760 is a wasteful number, since it uses less digits than its factorization.

4256142133760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9735 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 4256142133760 in words is "four trillion, two hundred fifty-six billion, one hundred forty-two million, one hundred thirty-three thousand, seven hundred sixty".