1403303020400 has 240 divisors, whose sum is σ = 3602303794944. Its totient is φ = 524195696640.

The previous prime is 1403303020373. The next prime is 1403303020429. The reversal of 1403303020400 is 40203033041.

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

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, 69643127 + ... + 69663273.

Almost surely, 2^{1403303020400} is an apocalyptic number.

1403303020400 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 1403303020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801151897472).

1403303020400 is an abundant number, since it is smaller than the sum of its proper divisors (2199000774544).

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

1403303020400 is a wasteful number, since it uses less digits than its factorization.

1403303020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20368 (or 20357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 1403303020400 its reverse (40203033041), we get a palindrome (1443506053441).

The spelling of 1403303020400 in words is "one trillion, four hundred three billion, three hundred three million, twenty thousand, four hundred".