1002306459840 has 448 divisors, whose sum is σ = 3914034628608. Its totient is φ = 212085964800.

The previous prime is 1002306459799. The next prime is 1002306459841. The reversal of 1002306459840 is 489546032001.

1002306459840 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1002306459792 and 1002306459801.

It is not an unprimeable number, because it can be changed into a prime (1002306459841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6896725 + ... + 7040555.

Almost surely, 2^{1002306459840} is an apocalyptic number.

1002306459840 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 1002306459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957017314304).

1002306459840 is an abundant number, since it is smaller than the sum of its proper divisors (2911728168768).

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

1002306459840 is a wasteful number, since it uses less digits than its factorization.

1002306459840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143936 (or 143926 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 1002306459840 in words is "one trillion, two billion, three hundred six million, four hundred fifty-nine thousand, eight hundred forty".