415098207040 has 336 divisors, whose sum is σ = 1114766400384. Its totient is φ = 145955635200.

The previous prime is 415098207001. The next prime is 415098207103. The reversal of 415098207040 is 40702890514.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 415098206984 and 415098207002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3029913852 + ... + 3029913988.

It is an arithmetic number, because the mean of its divisors is an integer number (3317757144).

Almost surely, 2^415098207040 is an apocalyptic number.

415098207040 is a gapful number since it is divisible by the number (40) 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 415098207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383200192).

415098207040 is an abundant number, since it is smaller than the sum of its proper divisors (699668193344).

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

415098207040 is a wasteful number, since it uses less digits than its factorization.

415098207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The spelling of 415098207040 in words is "four hundred fifteen billion, ninety-eight million, two hundred seven thousand, forty".