13700335440 has 320 divisors, whose sum is σ = 48291552000. Its totient is φ = 3182592000.

The previous prime is 13700335409. The next prime is 13700335447. The reversal of 13700335440 is 4453300731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13700335398 and 13700335407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13700335447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11406840 + ... + 11408040.

It is an arithmetic number, because the mean of its divisors is an integer number (150911100).

Almost surely, 2^13700335440 is an apocalyptic number.

13700335440 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 13700335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145776000).

13700335440 is an abundant number, since it is smaller than the sum of its proper divisors (34591216560).

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

13700335440 is a wasteful number, since it uses less digits than its factorization.

13700335440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The spelling of 13700335440 in words is "thirteen billion, seven hundred million, three hundred thirty-five thousand, four hundred forty".