1041117451920 has 480 divisors, whose sum is σ = 4317119020032. Its totient is φ = 218958225408.

The previous prime is 1041117451889. The next prime is 1041117451921. The reversal of 1041117451920 is 291547111401.

1041117451920 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 117 + 4 + 519 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1041117451921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20482377 + ... + 20533143.

Almost surely, 2^{1041117451920} is an apocalyptic number.

1041117451920 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 1041117451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158559510016).

1041117451920 is an abundant number, since it is smaller than the sum of its proper divisors (3276001568112).

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

1041117451920 is a wasteful number, since it uses less digits than its factorization.

1041117451920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51119 (or 51110 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 1041117451920 in words is "one trillion, forty-one billion, one hundred seventeen million, four hundred fifty-one thousand, nine hundred twenty".