1403145141200 has 240 divisors, whose sum is σ = 3705998800896. Its totient is φ = 506293286400.

The previous prime is 1403145141173. The next prime is 1403145141269. The reversal of 1403145141200 is 21415413041.

It is a self number, because there is not a number n which added to its sum of digits gives 1403145141200.

It is a congruent number.

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, 618942467 + ... + 618944733.

Almost surely, 2^{1403145141200} is an apocalyptic number.

1403145141200 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 1403145141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852999400448).

1403145141200 is an abundant number, since it is smaller than the sum of its proper divisors (2302853659696).

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

1403145141200 is a wasteful number, since it uses less digits than its factorization.

1403145141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322 (or 3311 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The spelling of 1403145141200 in words is "one trillion, four hundred three billion, one hundred forty-five million, one hundred forty-one thousand, two hundred".