1404040133000 has 128 divisors (see below), whose sum is σ = 3400691580000. Its totient is φ = 541939507200.

The previous prime is 1404040132997. The next prime is 1404040133053. The reversal of 1404040133000 is 3310404041.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 788377064836 + 615663068164 = 887906^2 + 784642^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 54304076 + ... + 54329924.

Almost surely, 2^{1404040133000} is an apocalyptic number.

1404040133000 is a gapful number since it is divisible by the number (10) 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 1404040133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700345790000).

1404040133000 is an abundant number, since it is smaller than the sum of its proper divisors (1996651447000).

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

1404040133000 is a wasteful number, since it uses less digits than its factorization.

1404040133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27772 (or 27758 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1404040133000 its reverse (3310404041), we get a palindrome (1407350537041).

The spelling of 1404040133000 in words is "one trillion, four hundred four billion, forty million, one hundred thirty-three thousand".