1410048640 has 512 divisors, whose sum is σ = 4737761280. Its totient is φ = 387072000.

The previous prime is 1410048637. The next prime is 1410048659. The reversal of 1410048640 is 468400141.

It is a super-3 number, since 3×1410048640³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1410048599 and 1410048608.

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, 19859805 + ... + 19859875.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^1410048640 is an apocalyptic number.

1410048640 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 1410048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368880640).

1410048640 is an abundant number, since it is smaller than the sum of its proper divisors (3327712640).

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

1410048640 is a wasteful number, since it uses less digits than its factorization.

1410048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1410048640 is about 37550.6143757995. The cubic root of 1410048640 is about 1121.3590644613.

Adding to 1410048640 its reverse (468400141), we get a palindrome (1878448781).

The spelling of 1410048640 in words is "one billion, four hundred ten million, forty-eight thousand, six hundred forty".