4201943040 has 520 divisors, whose sum is σ = 16055998200. Its totient is φ = 1047527424.

The previous prime is 4201943033. The next prime is 4201943051. The reversal of 4201943040 is 403491024.

It can be written as a sum of positive squares in 4 ways, for example, as 260112384 + 3941830656 = 16128^2 + 62784^2 .

It is a super-2 number, since 2×4201943040² = 35312650622808883200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4201942995 and 4201943013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28200886 + ... + 28201034.

Almost surely, 2^4201943040 is an apocalyptic number.

4201943040 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 4201943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8027999100).

4201943040 is an abundant number, since it is smaller than the sum of its proper divisors (11854055160).

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

4201943040 is a wasteful number, since it uses less digits than its factorization.

4201943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4201943040 is about 64822.3961297328. The cubic root of 4201943040 is about 1613.6774137293.

The spelling of 4201943040 in words is "four billion, two hundred one million, nine hundred forty-three thousand, forty".