415262510040 has 256 divisors, whose sum is σ = 1470454456320. Its totient is φ = 91807211520.

The previous prime is 415262510029. The next prime is 415262510053. The reversal of 415262510040 is 40015262514.

It is a super-2 number, since 2×415262510040² (a number of 24 digits) contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 76997584 + ... + 77002976.

It is an arithmetic number, because the mean of its divisors is an integer number (5743962720).

Almost surely, 2^415262510040 is an apocalyptic number.

415262510040 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 415262510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735227228160).

415262510040 is an abundant number, since it is smaller than the sum of its proper divisors (1055191946280).

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

415262510040 is a wasteful number, since it uses less digits than its factorization.

415262510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8402 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 415262510040 its reverse (40015262514), we get a palindrome (455277772554).

The spelling of 415262510040 in words is "four hundred fifteen billion, two hundred sixty-two million, five hundred ten thousand, forty".