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4099991040 = 29335232579
BaseRepresentation
bin1111010001100000…
…1110011000000000
3101120201212010101000
43310120032120000
531344044203130
61514501012000
7203413230435
oct36430163000
911521763330
104099991040
111814379a52
129650b4000
13504561102
142ac741b8c
1518ee27260
hexf460e600

4099991040 has 320 divisors, whose sum is σ = 15202598400. Its totient is φ = 1045389312.

The previous prime is 4099991023. The next prime is 4099991107. The reversal of 4099991040 is 401999904.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588471 + ... + 1591049.

It is an arithmetic number, because the mean of its divisors is an integer number (47508120).

Almost surely, 24099991040 is an apocalyptic number.

4099991040 is a gapful number since it is divisible by the number (40) 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 4099991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7601299200).

4099991040 is an abundant number, since it is smaller than the sum of its proper divisors (11102607360).

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

4099991040 is a wasteful number, since it uses less digits than its factorization.

4099991040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 4099991040 is about 64031.1724084449. The cubic root of 4099991040 is about 1600.5194979746.

The spelling of 4099991040 in words is "four billion, ninety-nine million, nine hundred ninety-one thousand, forty".