1408155840 has 672 divisors, whose sum is σ = 6213043200. Its totient is φ = 295612416.

The previous prime is 1408155823. The next prime is 1408155863. The reversal of 1408155840 is 485518041.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1408155840² = 3965805739452211200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1408155795 and 1408155804.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7076061 + ... + 7076259.

It is an arithmetic number, because the mean of its divisors is an integer number (9245600).

Almost surely, 2^1408155840 is an apocalyptic number.

1408155840 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 1408155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106521600).

1408155840 is an abundant number, since it is smaller than the sum of its proper divisors (4804887360).

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

1408155840 is a wasteful number, since it uses less digits than its factorization.

1408155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1408155840 is about 37525.4025961081. The cubic root of 1408155840 is about 1120.8570820443.

The spelling of 1408155840 in words is "one billion, four hundred eight million, one hundred fifty-five thousand, eight hundred forty".