1012087440 has 640 divisors, whose sum is σ = 4533043200. Its totient is φ = 201553920.

The previous prime is 1012087399. The next prime is 1012087451. The reversal of 1012087440 is 447802101.

1012087440 is a `hidden beast` number, since 10 + 1 + 208 + 7 + 440 = 666.

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 127 ways as a sum of consecutive naturals, for example, 3734505 + ... + 3734775.

It is an arithmetic number, because the mean of its divisors is an integer number (7082880).

Almost surely, 2^1012087440 is an apocalyptic number.

1012087440 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 1012087440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266521600).

1012087440 is an abundant number, since it is smaller than the sum of its proper divisors (3520955760).

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

1012087440 is a wasteful number, since it uses less digits than its factorization.

1012087440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1012087440 is about 31813.3217379135. The cubic root of 1012087440 is about 1004.0130207885.

Adding to 1012087440 its reverse (447802101), we get a palindrome (1459889541).

The spelling of 1012087440 in words is "one billion, twelve million, eighty-seven thousand, four hundred forty".