1041349680 has 240 divisors, whose sum is σ = 4036241664. Its totient is φ = 235676160.

The previous prime is 1041349657. The next prime is 1041349691. The reversal of 1041349680 is 869431401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1041349680² = 2168818312072204800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538315 + ... + 540245.

Almost surely, 2^1041349680 is an apocalyptic number.

1041349680 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 1041349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018120832).

1041349680 is an abundant number, since it is smaller than the sum of its proper divisors (2994891984).

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

1041349680 is a wasteful number, since it uses less digits than its factorization.

1041349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1041349680 is about 32269.9501084213. The cubic root of 1041349680 is about 1013.5974967270.

The spelling of 1041349680 in words is "one billion, forty-one million, three hundred forty-nine thousand, six hundred eighty".