1341007920 has 320 divisors, whose sum is σ = 5451079680. Its totient is φ = 296524800.

The previous prime is 1341007919. The next prime is 1341007931. The reversal of 1341007920 is 297001431.

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

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, 467290 + ... + 470150.

It is an arithmetic number, because the mean of its divisors is an integer number (17034624).

Almost surely, 2^1341007920 is an apocalyptic number.

1341007920 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 1341007920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725539840).

1341007920 is an abundant number, since it is smaller than the sum of its proper divisors (4110071760).

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

1341007920 is a wasteful number, since it uses less digits than its factorization.

1341007920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1341007920 is about 36619.7749856550. The cubic root of 1341007920 is about 1102.7501214178.

The spelling of 1341007920 in words is "one billion, three hundred forty-one million, seven thousand, nine hundred twenty".