40478160 has 80 divisors (see below), whose sum is σ = 130955904. Its totient is φ = 10323456.

The previous prime is 40478153. The next prime is 40478177. The reversal of 40478160 is 6187404.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1854 + ... + 9186.

Almost surely, 2^40478160 is an apocalyptic number.

40478160 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 40478160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65477952).

40478160 is an abundant number, since it is smaller than the sum of its proper divisors (90477744).

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

40478160 is a wasteful number, since it uses less digits than its factorization.

40478160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 7366 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40478160 is about 6362.2448868304. The cubic root of 40478160 is about 343.3525318911.

The spelling of 40478160 in words is "forty million, four hundred seventy-eight thousand, one hundred sixty".