1021463040 has 240 divisors, whose sum is σ = 3540496608. Its totient is φ = 251117568.

The previous prime is 1021462997. The next prime is 1021463063. The reversal of 1021463040 is 403641201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 1021462998 and 1021463016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1297527 + ... + 1298313.

Almost surely, 2^1021463040 is an apocalyptic number.

1021463040 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 1021463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770248304).

1021463040 is an abundant number, since it is smaller than the sum of its proper divisors (2519033568).

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

1021463040 is an equidigital number, since it uses as much as digits as its factorization.

1021463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1021463040 is about 31960.3354175140. The cubic root of 1021463040 is about 1007.1037637143.

The spelling of 1021463040 in words is "one billion, twenty-one million, four hundred sixty-three thousand, forty".