1908401040 has 960 divisors, whose sum is σ = 8786937600. Its totient is φ = 376233984.

The previous prime is 1908401009. The next prime is 1908401063. The reversal of 1908401040 is 401048091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1908400995 and 1908401013.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26142444 + ... + 26142516.

It is an arithmetic number, because the mean of its divisors is an integer number (9153060).

Almost surely, 2^1908401040 is an apocalyptic number.

1908401040 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 1908401040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393468800).

1908401040 is an abundant number, since it is smaller than the sum of its proper divisors (6878536560).

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

1908401040 is a wasteful number, since it uses less digits than its factorization.

1908401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1908401040 is about 43685.2496845331. The cubic root of 1908401040 is about 1240.3851214442.

The spelling of 1908401040 in words is "one billion, nine hundred eight million, four hundred one thousand, forty".