6145943040 has 400 divisors, whose sum is σ = 22298764752. Its totient is φ = 1617739776.

The previous prime is 6145943033. The next prime is 6145943047. The reversal of 6145943040 is 403495416.

6145943040 is a `hidden beast` number, since 61 + 4 + 594 + 3 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6145943033) and next prime (6145943047).

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

It is a junction number, because it is equal to n+sod(n) for n = 6145942986 and 6145943004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145943047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22187382 + ... + 22187658.

Almost surely, 2^6145943040 is an apocalyptic number.

6145943040 is a gapful number since it is divisible by the number (60) 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 6145943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11149382376).

6145943040 is an abundant number, since it is smaller than the sum of its proper divisors (16152821712).

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

6145943040 is a wasteful number, since it uses less digits than its factorization.

6145943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6145943040 is about 78396.0652073814. The cubic root of 6145943040 is about 1831.7358428711.

The spelling of 6145943040 in words is "six billion, one hundred forty-five million, nine hundred forty-three thousand, forty".