4037682040 has 128 divisors (see below), whose sum is σ = 10652031360. Its totient is φ = 1348798464.

The previous prime is 4037682029. The next prime is 4037682059. The reversal of 4037682040 is 402867304.

It is a super-2 number, since 2×4037682040² = 32605752512277123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4037681987 and 4037682005.

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, 2329014 + ... + 2330746.

It is an arithmetic number, because the mean of its divisors is an integer number (83218995).

Almost surely, 2^4037682040 is an apocalyptic number.

4037682040 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 4037682040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326015680).

4037682040 is an abundant number, since it is smaller than the sum of its proper divisors (6614349320).

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

4037682040 is a wasteful number, since it uses less digits than its factorization.

4037682040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 4037682040 is about 63542.7575731491. The cubic root of 4037682040 is about 1592.3701897054.

The spelling of 4037682040 in words is "four billion, thirty-seven million, six hundred eighty-two thousand, forty".