4145379840 has 240 divisors, whose sum is σ = 16408199808. Its totient is φ = 947478528.

The previous prime is 4145379829. The next prime is 4145379863. The reversal of 4145379840 is 489735414.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148429 + ... + 174131.

Almost surely, 2^4145379840 is an apocalyptic number.

4145379840 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 4145379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8204099904).

4145379840 is an abundant number, since it is smaller than the sum of its proper divisors (12262819968).

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

4145379840 is a wasteful number, since it uses less digits than its factorization.

4145379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25739 (or 25720 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4145379840 is about 64384.6242514469. The cubic root of 4145379840 is about 1606.4040004556.

The spelling of 4145379840 in words is "four billion, one hundred forty-five million, three hundred seventy-nine thousand, eight hundred forty".