40157740 has 96 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 12647424.

The previous prime is 40157713. The next prime is 40157753. The reversal of 40157740 is 4775104.

40157740 = 403² + 404² + ... + 570².

It is a super-2 number, since 2×40157740² = 3225288163815200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 40157699 and 40157708.

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, 111681 + ... + 112039.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^40157740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40157740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

40157740 is an abundant number, since it is smaller than the sum of its proper divisors (64351700).

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

40157740 is a wasteful number, since it uses less digits than its factorization.

40157740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 40157740 is about 6337.0134921744. The cubic root of 40157740 is about 342.4441523660. Note that the first 3 decimals are identical.

The spelling of 40157740 in words is "forty million, one hundred fifty-seven thousand, seven hundred forty".