1342112640 has 384 divisors, whose sum is σ = 4834922400. Its totient is φ = 316293120.

The previous prime is 1342112609. The next prime is 1342112659. The reversal of 1342112640 is 462112431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1342112640.

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, 12312906 + ... + 12313014.

Almost surely, 2^1342112640 is an apocalyptic number.

1342112640 is a gapful number since it is divisible by the number (10) 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 1342112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417461200).

1342112640 is an abundant number, since it is smaller than the sum of its proper divisors (3492809760).

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

1342112640 is a wasteful number, since it uses less digits than its factorization.

1342112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1342112640 is about 36634.8555340403. The cubic root of 1342112640 is about 1103.0528528493.

The spelling of 1342112640 in words is "one billion, three hundred forty-two million, one hundred twelve thousand, six hundred forty".