1415575040 has 160 divisors (see below), whose sum is σ = 3921740064. Its totient is φ = 484311040.

The previous prime is 1415575037. The next prime is 1415575081. The reversal of 1415575040 is 405755141.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1415574988 and 1415575006.

It is a congruent number.

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, 477242 + ... + 480198.

Almost surely, 2^1415575040 is an apocalyptic number.

1415575040 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 1415575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960870032).

1415575040 is an abundant number, since it is smaller than the sum of its proper divisors (2506165024).

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

1415575040 is a wasteful number, since it uses less digits than its factorization.

1415575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 32.

The square root of 1415575040 is about 37624.1284284434. The cubic root of 1415575040 is about 1122.8221346174.

The spelling of 1415575040 in words is "one billion, four hundred fifteen million, five hundred seventy-five thousand, forty".