412197753240 has 288 divisors, whose sum is σ = 1657852017120. Its totient is φ = 86969106432.

The previous prime is 412197753211. The next prime is 412197753263. The reversal of 412197753240 is 42357791214.

412197753240 is a `hidden beast` number, since 4 + 1 + 2 + 1 + 9 + 77 + 532 + 40 = 666.

It is a super-2 number, since 2×412197753240² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58057 + ... + 909816.

It is an arithmetic number, because the mean of its divisors is an integer number (5756430615).

Almost surely, 2^412197753240 is an apocalyptic number.

412197753240 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 412197753240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828926008560).

412197753240 is an abundant number, since it is smaller than the sum of its proper divisors (1245654263880).

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

412197753240 is a wasteful number, since it uses less digits than its factorization.

412197753240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967923 (or 967903 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 412197753240 in words is "four hundred twelve billion, one hundred ninety-seven million, seven hundred fifty-three thousand, two hundred forty".