1216745040 has 320 divisors, whose sum is σ = 4534566912. Its totient is φ = 264038400.

The previous prime is 1216745027. The next prime is 1216745059. The reversal of 1216745040 is 405476121.

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 = 1216744989 and 1216745007.

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, 3176689 + ... + 3177071.

Almost surely, 2^1216745040 is an apocalyptic number.

1216745040 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 1216745040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267283456).

1216745040 is an abundant number, since it is smaller than the sum of its proper divisors (3317821872).

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

1216745040 is a wasteful number, since it uses less digits than its factorization.

1216745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1216745040 is about 34881.8726561519. The cubic root of 1216745040 is about 1067.5786046724.

The spelling of 1216745040 in words is "one billion, two hundred sixteen million, seven hundred forty-five thousand, forty".