1023007427040 has 384 divisors, whose sum is σ = 3440860093440. Its totient is φ = 254749114368.

The previous prime is 1023007427003. The next prime is 1023007427053. The reversal of 1023007427040 is 407247003201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1023007426989 and 1023007427007.

It is a congruent number.

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, 232658122 + ... + 232662518.

It is an arithmetic number, because the mean of its divisors is an integer number (8960573160).

Almost surely, 2^{1023007427040} is an apocalyptic number.

1023007427040 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 1023007427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720430046720).

1023007427040 is an abundant number, since it is smaller than the sum of its proper divisors (2417852666400).

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

1023007427040 is a wasteful number, since it uses less digits than its factorization.

1023007427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4794 (or 4786 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The spelling of 1023007427040 in words is "one trillion, twenty-three billion, seven million, four hundred twenty-seven thousand, forty".