1408072802040 has 224 divisors, whose sum is σ = 4751542501200. Its totient is φ = 375369914880.

The previous prime is 1408072802039. The next prime is 1408072802047. The reversal of 1408072802040 is 402082708041.

It is a super-3 number, since 3×1408072802040³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1408072801986 and 1408072802004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1408072802047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 137892535 + ... + 137902745.

Almost surely, 2^{1408072802040} is an apocalyptic number.

1408072802040 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 1408072802040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375771250600).

1408072802040 is an abundant number, since it is smaller than the sum of its proper divisors (3343469699160).

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

1408072802040 is a wasteful number, since it uses less digits than its factorization.

1408072802040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14969 (or 14950 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 1408072802040 in words is "one trillion, four hundred eight billion, seventy-two million, eight hundred two thousand, forty".