1201919040 has 672 divisors, whose sum is σ = 5253776640. Its totient is φ = 257015808.

The previous prime is 1201919029. The next prime is 1201919041. The reversal of 1201919040 is 409191021.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1201918995 and 1201919013.

It is not an unprimeable number, because it can be changed into a prime (1201919041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7197037 + ... + 7197203.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2^1201919040 is an apocalyptic number.

1201919040 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 1201919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626888320).

1201919040 is an abundant number, since it is smaller than the sum of its proper divisors (4051857600).

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

1201919040 is a wasteful number, since it uses less digits than its factorization.

1201919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1201919040 is about 34668.7040426953. The cubic root of 1201919040 is about 1063.2247353467.

The spelling of 1201919040 in words is "one billion, two hundred one million, nine hundred nineteen thousand, forty".