3134142440 has 256 divisors, whose sum is σ = 8870238720. Its totient is φ = 979107840.

The previous prime is 3134142409. The next prime is 3134142463. The reversal of 3134142440 is 442414313.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16238984 + ... + 16239176.

It is an arithmetic number, because the mean of its divisors is an integer number (34649370).

Almost surely, 2^3134142440 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 3134142440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435119360).

3134142440 is an abundant number, since it is smaller than the sum of its proper divisors (5736096280).

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

3134142440 is a wasteful number, since it uses less digits than its factorization.

3134142440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 3134142440 is about 55983.4121861110. The cubic root of 3134142440 is about 1463.4332226800.

Adding to 3134142440 its reverse (442414313), we get a palindrome (3576556753).

The spelling of 3134142440 in words is "three billion, one hundred thirty-four million, one hundred forty-two thousand, four hundred forty".