1354040400000 has 384 divisors, whose sum is σ = 4507952097600. Its totient is φ = 360081920000.

The previous prime is 1354040399989. The next prime is 1354040400029. The reversal of 1354040400000 is 40404531.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1354040400000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 502798654 + ... + 502801346.

Almost surely, 2^{1354040400000} is an apocalyptic number.

1354040400000 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 1354040400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253976048800).

1354040400000 is an abundant number, since it is smaller than the sum of its proper divisors (3153911697600).

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

1354040400000 is an frugal number, since it uses more digits than its factorization.

1354040400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 1354040400000 its reverse (40404531), we get a palindrome (1354080804531).

The spelling of 1354040400000 in words is "one trillion, three hundred fifty-four billion, forty million, four hundred thousand".