4008378240 has 96 divisors (see below), whose sum is σ = 13841451000. Its totient is φ = 1068899328.

The previous prime is 4008378233. The next prime is 4008378271. The reversal of 4008378240 is 428738004.

4008378240 is a `hidden beast` number, since 40 + 0 + 8 + 378 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4008378240² = 32134192229810995200, 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 = 4008378195 and 4008378204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342190 + ... + 353709.

Almost surely, 2^4008378240 is an apocalyptic number.

4008378240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008378240 is an abundant number, since it is smaller than the sum of its proper divisors (9833072760).

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

4008378240 is a wasteful number, since it uses less digits than its factorization.

4008378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695924 (or 695909 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4008378240 is about 63311.7543588866. The cubic root of 4008378240 is about 1588.5085813147.

The spelling of 4008378240 in words is "four billion, eight million, three hundred seventy-eight thousand, two hundred forty".