13209467040 has 1440 divisors, whose sum is σ = 62069027328. Its totient is φ = 2612736000.

The previous prime is 13209467023. The next prime is 13209467057. The reversal of 13209467040 is 4076490231.

It is an interprime number because it is at equal distance from previous prime (13209467023) and next prime (13209467057).

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 13209466986 and 13209467004.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 216548610 + ... + 216548670.

Almost surely, 2^13209467040 is an apocalyptic number.

13209467040 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 13209467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31034513664).

13209467040 is an abundant number, since it is smaller than the sum of its proper divisors (48859560288).

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

13209467040 is a wasteful number, since it uses less digits than its factorization.

13209467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

It can be divided in two parts, 13209 and 467040, that added together give a square (480249 = 693²).

The spelling of 13209467040 in words is "thirteen billion, two hundred nine million, four hundred sixty-seven thousand, forty".