1407970047120 has 640 divisors, whose sum is σ = 5564643840000. Its totient is φ = 286437924864.

The previous prime is 1407970047103. The next prime is 1407970047247. The reversal of 1407970047120 is 217400797041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 939272131 + ... + 939273629.

It is an arithmetic number, because the mean of its divisors is an integer number (8694756000).

Almost surely, 2^{1407970047120} is an apocalyptic number.

1407970047120 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 1407970047120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782321920000).

1407970047120 is an abundant number, since it is smaller than the sum of its proper divisors (4156673792880).

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

1407970047120 is a wasteful number, since it uses less digits than its factorization.

1407970047120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 1407970047120 in words is "one trillion, four hundred seven billion, nine hundred seventy million, forty-seven thousand, one hundred twenty".