1341390624 has 96 divisors (see below), whose sum is σ = 4061312640. Its totient is φ = 379717632.

The previous prime is 1341390581. The next prime is 1341390647. The reversal of 1341390624 is 4260931431.

It is a Cunningham number, because it is equal to 36625²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64092 + ... + 82404.

It is an arithmetic number, because the mean of its divisors is an integer number (42305340).

Almost surely, 2^1341390624 is an apocalyptic number.

1341390624 is a gapful number since it is divisible by the number (14) 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 1341390624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030656320).

1341390624 is an abundant number, since it is smaller than the sum of its proper divisors (2719922016).

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

1341390624 is a wasteful number, since it uses less digits than its factorization.

1341390624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18442 (or 18434 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 1341390624 is about 36624.9999863481. Note that the first 4 decimals coincide. The cubic root of 1341390624 is about 1102.8550143459.

The spelling of 1341390624 in words is "one billion, three hundred forty-one million, three hundred ninety thousand, six hundred twenty-four".