40142960 has 160 divisors (see below), whose sum is σ = 114367680. Its totient is φ = 13009920.

The previous prime is 40142957. The next prime is 40142987. The reversal of 40142960 is 6924104.

40142960 = T₂₀₀ + T₂₀₁ + ... + T₆₂₈.

It is a super-2 number, since 2×40142960² = 3222914475123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 1384226 + ... + 1384254.

It is an arithmetic number, because the mean of its divisors is an integer number (714798).

Almost surely, 2^40142960 is an apocalyptic number.

40142960 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 40142960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57183840).

40142960 is an abundant number, since it is smaller than the sum of its proper divisors (74224720).

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

40142960 is a wasteful number, since it uses less digits than its factorization.

40142960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 40142960 is about 6335.8472203802. The cubic root of 40142960 is about 342.4021351804.

The spelling of 40142960 in words is "forty million, one hundred forty-two thousand, nine hundred sixty".