4134036540 has 48 divisors (see below), whose sum is σ = 12256205472. Its totient is φ = 1037561856.

The previous prime is 4134036509. The next prime is 4134036593. The reversal of 4134036540 is 456304314.

4134036540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4134036540² = 34180516228110343200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4134036498 and 4134036507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2025469 + ... + 2027508.

It is an arithmetic number, because the mean of its divisors is an integer number (255337614).

Almost surely, 2^4134036540 is an apocalyptic number.

It is an amenable number.

4134036540 is an abundant number, since it is smaller than the sum of its proper divisors (8122168932).

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

4134036540 is a wasteful number, since it uses less digits than its factorization.

4134036540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053006 (or 4053004 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 4134036540 is about 64296.4737757834. The cubic root of 4134036540 is about 1604.9374224687.

The spelling of 4134036540 in words is "four billion, one hundred thirty-four million, thirty-six thousand, five hundred forty".