13435451040 has 384 divisors, whose sum is σ = 47348001792. Its totient is φ = 3175096320.

The previous prime is 13435451021. The next prime is 13435451053. The reversal of 13435451040 is 4015453431.

It is a super-2 number, since 2×13435451040² (a number of 21 digits) contains 22 as substring.

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 = 13435450989 and 13435451007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57662764 + ... + 57662996.

It is an arithmetic number, because the mean of its divisors is an integer number (123302088).

Almost surely, 2^13435451040 is an apocalyptic number.

13435451040 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 13435451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23674000896).

13435451040 is an abundant number, since it is smaller than the sum of its proper divisors (33912550752).

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

13435451040 is a wasteful number, since it uses less digits than its factorization.

13435451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 13435451040 in words is "thirteen billion, four hundred thirty-five million, four hundred fifty-one thousand, forty".