40146720 has 48 divisors (see below), whose sum is σ = 126463680. Its totient is φ = 10705664.

The previous prime is 40146719. The next prime is 40146731. The reversal of 40146720 is 2764104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40146720² = 3223518253516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41340 + ... + 42299.

It is an arithmetic number, because the mean of its divisors is an integer number (2634660).

Almost surely, 2^40146720 is an apocalyptic number.

40146720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40146720 is an abundant number, since it is smaller than the sum of its proper divisors (86316960).

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

40146720 is a wasteful number, since it uses less digits than its factorization.

40146720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83657 (or 83649 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40146720 is about 6336.1439377590. The cubic root of 40146720 is about 342.4128252395.

The spelling of 40146720 in words is "forty million, one hundred forty-six thousand, seven hundred twenty".