1007420040000 has 840 divisors, whose sum is σ = 3996163293408. Its totient is φ = 240514560000.

The previous prime is 1007420039987. The next prime is 1007420040019. The reversal of 1007420040000 is 400247001.

It is a happy number.

1007420040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 265318102 + ... + 265321898.

Almost surely, 2^{1007420040000} is an apocalyptic number.

1007420040000 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 1007420040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998081646704).

1007420040000 is an abundant number, since it is smaller than the sum of its proper divisors (2988743253408).

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

1007420040000 is a wasteful number, since it uses less digits than its factorization.

1007420040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

Adding to 1007420040000 its reverse (400247001), we get a palindrome (1007820287001).

The spelling of 1007420040000 in words is "one trillion, seven billion, four hundred twenty million, forty thousand".