4260177013500 has 144 divisors (see below), whose sum is σ = 13451638531968. Its totient is φ = 1135015920000.

The previous prime is 4260177013487. The next prime is 4260177013511. The reversal of 4260177013500 is 53107710624.

It is a happy number.

4260177013500 is a `hidden beast` number, since 4 + 2 + 60 + 17 + 70 + 13 + 500 = 666.

It is a super-3 number, since 3×4260177013500³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4534350 + ... + 5392650.

It is an arithmetic number, because the mean of its divisors is an integer number (93414156472).

Almost surely, 2^{4260177013500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4260177013500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6725819265984).

4260177013500 is an abundant number, since it is smaller than the sum of its proper divisors (9191461518468).

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

4260177013500 is a wasteful number, since it uses less digits than its factorization.

4260177013500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859429 (or 859414 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 4260177013500 in words is "four trillion, two hundred sixty billion, one hundred seventy-seven million, thirteen thousand, five hundred".