1427564040 has 192 divisors, whose sum is σ = 5030683200. Its totient is φ = 323108352.

The previous prime is 1427564011. The next prime is 1427564051. The reversal of 1427564040 is 404657241.

It is a super-2 number, since 2×1427564040² = 4075878176602243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1427563992 and 1427564010.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 628026 + ... + 630294.

It is an arithmetic number, because the mean of its divisors is an integer number (26201475).

Almost surely, 2^1427564040 is an apocalyptic number.

1427564040 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 1427564040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515341600).

1427564040 is an abundant number, since it is smaller than the sum of its proper divisors (3603119160).

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

1427564040 is a wasteful number, since it uses less digits than its factorization.

1427564040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1427564040 is about 37783.1184525576. The cubic root of 1427564040 is about 1125.9830853684.

The spelling of 1427564040 in words is "one billion, four hundred twenty-seven million, five hundred sixty-four thousand, forty".