1403307632412 has 192 divisors, whose sum is σ = 4228890624000. Its totient is φ = 394129416384.

The previous prime is 1403307632351. The next prime is 1403307632449. The reversal of 1403307632412 is 2142367033041.

1403307632412 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 3 + 0 + 7 + 632 + 4 + 12 = 666.

It is a super-2 number, since 2×1403307632412² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24233389 + ... + 24291227.

It is an arithmetic number, because the mean of its divisors is an integer number (22025472000).

Almost surely, 2^{1403307632412} is an apocalyptic number.

1403307632412 is a gapful number since it is divisible by the number (12) 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 1403307632412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114445312000).

1403307632412 is an abundant number, since it is smaller than the sum of its proper divisors (2825582991588).

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

1403307632412 is a wasteful number, since it uses less digits than its factorization.

1403307632412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58405 (or 58397 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 1403307632412 in words is "one trillion, four hundred three billion, three hundred seven million, six hundred thirty-two thousand, four hundred twelve".