40414080 has 256 divisors, whose sum is σ = 153538560. Its totient is φ = 8847360.

The previous prime is 40414063. The next prime is 40414133. The reversal of 40414080 is 8041404.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 416592 + ... + 416688.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 2^40414080 is an apocalyptic number.

40414080 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 40414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

40414080 is an abundant number, since it is smaller than the sum of its proper divisors (113124480).

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

40414080 is a wasteful number, since it uses less digits than its factorization.

40414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 40414080 is about 6357.2069338665. The cubic root of 40414080 is about 343.1712518234.

Adding to 40414080 its reverse (8041404), we get a palindrome (48455484).

The spelling of 40414080 in words is "forty million, four hundred fourteen thousand, eighty".