40507416 has 96 divisors (see below), whose sum is σ = 116644320. Its totient is φ = 12672000.

The previous prime is 40507409. The next prime is 40507429. The reversal of 40507416 is 61470504.

40507416 = 96² + 97² + ... + 496².

It is a self number, because there is not a number n which added to its sum of digits gives 40507416.

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, 100816 + ... + 101216.

It is an arithmetic number, because the mean of its divisors is an integer number (1215045).

Almost surely, 2^40507416 is an apocalyptic number.

40507416 is a gapful number since it is divisible by the number (46) 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 40507416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58322160).

40507416 is an abundant number, since it is smaller than the sum of its proper divisors (76136904).

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

40507416 is a wasteful number, since it uses less digits than its factorization.

40507416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 40507416 is about 6364.5436599964. The cubic root of 40507416 is about 343.4352324764.

The spelling of 40507416 in words is "forty million, five hundred seven thousand, four hundred sixteen".