41228969400 has 288 divisors, whose sum is σ = 143559561600. Its totient is φ = 10591257600.

The previous prime is 41228969389. The next prime is 41228969413. The reversal of 41228969400 is 496982214.

It is a super-2 number, since 2×41228969400² (a number of 22 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, 41602905 + ... + 41603895.

It is an arithmetic number, because the mean of its divisors is an integer number (498470700).

Almost surely, 2^41228969400 is an apocalyptic number.

41228969400 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 41228969400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71779780800).

41228969400 is an abundant number, since it is smaller than the sum of its proper divisors (102330592200).

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

41228969400 is a wasteful number, since it uses less digits than its factorization.

41228969400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 41228969400 in words is "forty-one billion, two hundred twenty-eight million, nine hundred sixty-nine thousand, four hundred".