1404074166 has 64 divisors (see below), whose sum is σ = 3255469056. Its totient is φ = 398988800.

The previous prime is 1404074137. The next prime is 1404074207. The reversal of 1404074166 is 6614704041.

1404074166 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-6 number, since 6×1404074166⁶ (a number of 56 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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, 326611 + ... + 330881.

It is an arithmetic number, because the mean of its divisors is an integer number (50866704).

Almost surely, 2^1404074166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404074166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627734528).

1404074166 is an abundant number, since it is smaller than the sum of its proper divisors (1851394890).

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

1404074166 is a wasteful number, since it uses less digits than its factorization.

1404074166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1404074166 is about 37470.9776493755. The cubic root of 1404074166 is about 1119.7730636084.

The spelling of 1404074166 in words is "one billion, four hundred four million, seventy-four thousand, one hundred sixty-six".