40074000 has 80 divisors (see below), whose sum is σ = 129217920. Its totient is φ = 10684800.

The previous prime is 40073993. The next prime is 40074017. The reversal of 40074000 is 47004.

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 (15).

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, 2661 + ... + 9339.

It is an arithmetic number, because the mean of its divisors is an integer number (1615224).

Almost surely, 2^40074000 is an apocalyptic number.

40074000 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 40074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64608960).

40074000 is an abundant number, since it is smaller than the sum of its proper divisors (89143920).

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

40074000 is a wasteful number, since it uses less digits than its factorization.

40074000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6705 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 40074000 is about 6330.4028307842. The cubic root of 40074000 is about 342.2059564491.

The spelling of 40074000 in words is "forty million, seventy-four thousand".