41970428100 has 288 divisors, whose sum is σ = 144160217600. Its totient is φ = 10443945600.

The previous prime is 41970428099. The next prime is 41970428113. The reversal of 41970428100 is 182407914.

41970428100 is a `hidden beast` number, since 41 + 97 + 0 + 428 + 100 = 666.

It is a super-2 number, since 2×41970428100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3430995 + ... + 3443205.

Almost surely, 2^41970428100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41970428100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72080108800).

41970428100 is an abundant number, since it is smaller than the sum of its proper divisors (102189789500).

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

41970428100 is a wasteful number, since it uses less digits than its factorization.

41970428100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12320 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 41970428100 in words is "forty-one billion, nine hundred seventy million, four hundred twenty-eight thousand, one hundred".