412648953120 has 576 divisors, whose sum is σ = 1499176014336. Its totient is φ = 107137105920.

The previous prime is 412648953109. The next prime is 412648953131. The reversal of 412648953120 is 21359846214.

412648953120 is a `hidden beast` number, since 4 + 12 + 6 + 4 + 89 + 531 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (412648953109) and next prime (412648953131).

It is a super-2 number, since 2×412648953120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 440393292 + ... + 440394228.

It is an arithmetic number, because the mean of its divisors is an integer number (2602736136).

Almost surely, 2^412648953120 is an apocalyptic number.

412648953120 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 412648953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749588007168).

412648953120 is an abundant number, since it is smaller than the sum of its proper divisors (1086527061216).

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

412648953120 is a wasteful number, since it uses less digits than its factorization.

412648953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 412648953120 in words is "four hundred twelve billion, six hundred forty-eight million, nine hundred fifty-three thousand, one hundred twenty".