1041945408 has 504 divisors, whose sum is σ = 3839565600. Its totient is φ = 268240896.

The previous prime is 1041945329. The next prime is 1041945431. The reversal of 1041945408 is 8045491401.

1041945408 is a `hidden beast` number, since 104 + 1 + 9 + 4 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15551391 + ... + 15551457.

Almost surely, 2^1041945408 is an apocalyptic number.

1041945408 is a gapful number since it is divisible by the number (18) 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 1041945408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919782800).

1041945408 is an abundant number, since it is smaller than the sum of its proper divisors (2797620192).

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

1041945408 is a wasteful number, since it uses less digits than its factorization.

1041945408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1041945408 is about 32279.1791717200. The cubic root of 1041945408 is about 1013.7907437900.

The spelling of 1041945408 in words is "one billion, forty-one million, nine hundred forty-five thousand, four hundred eight".