4156026900480 has 4368 divisors, whose sum is σ = 20575598037120. Its totient is φ = 794606174208.

The previous prime is 4156026900451. The next prime is 4156026900521. The reversal of 4156026900480 is 840096206514.

4156026900480 is a `hidden beast` number, since 4 + 1 + 5 + 60 + 26 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (4368).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 180696821749 + ... + 180696821771.

Almost surely, 2^{4156026900480} is an apocalyptic number.

4156026900480 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 4156026900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287799018560).

4156026900480 is an abundant number, since it is smaller than the sum of its proper divisors (16419571136640).

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

4156026900480 is a wasteful number, since it uses less digits than its factorization.

4156026900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 4156026900480 in words is "four trillion, one hundred fifty-six billion, twenty-six million, nine hundred thousand, four hundred eighty".