1408112640 has 384 divisors, whose sum is σ = 5472230400. Its totient is φ = 340623360.

The previous prime is 1408112611. The next prime is 1408112653. The reversal of 1408112640 is 462118041.

It is a happy number.

1408112640 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 1 + 12 + 640 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3041049 + ... + 3041511.

It is an arithmetic number, because the mean of its divisors is an integer number (14250600).

Almost surely, 2^1408112640 is an apocalyptic number.

1408112640 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 1408112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736115200).

1408112640 is an abundant number, since it is smaller than the sum of its proper divisors (4064117760).

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

1408112640 is a wasteful number, since it uses less digits than its factorization.

1408112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1408112640 is about 37524.8269816131. The cubic root of 1408112640 is about 1120.8456198847.

The spelling of 1408112640 in words is "one billion, four hundred eight million, one hundred twelve thousand, six hundred forty".