1403780801220 has 432 divisors, whose sum is σ = 5040985950000. Its totient is φ = 315200471040.

The previous prime is 1403780801173. The next prime is 1403780801221. The reversal of 1403780801220 is 221080873041.

It can be written as a sum of positive squares in 8 ways, for example, as 56430952704 + 1347349848516 = 237552^2 + 1160754^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1403780801221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 671985936 + ... + 671988024.

Almost surely, 2^{1403780801220} is an apocalyptic number.

1403780801220 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 1403780801220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520492975000).

1403780801220 is an abundant number, since it is smaller than the sum of its proper divisors (3637205148780).

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

1403780801220 is a wasteful number, since it uses less digits than its factorization.

1403780801220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1403780801220 in words is "one trillion, four hundred three billion, seven hundred eighty million, eight hundred one thousand, two hundred twenty".