40145688 has 96 divisors (see below), whose sum is σ = 119705040. Its totient is φ = 12053760.

The previous prime is 40145641. The next prime is 40145701. The reversal of 40145688 is 88654104.

It is a super-2 number, since 2×40145688² = 3223352529986688, which contains 22 as substring.

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

It is a congruent number.

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, 136870 + ... + 137162.

Almost surely, 2^40145688 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 40145688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59852520).

40145688 is an abundant number, since it is smaller than the sum of its proper divisors (79559352).

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

40145688 is a wasteful number, since it uses less digits than its factorization.

40145688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 40145688 is about 6336.0624996917. The cubic root of 40145688 is about 342.4098912259.

The spelling of 40145688 in words is "forty million, one hundred forty-five thousand, six hundred eighty-eight".