41257034000 has 320 divisors, whose sum is σ = 123305774592. Its totient is φ = 13001472000.

The previous prime is 41257033973. The next prime is 41257034011. The reversal of 41257034000 is 43075214.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72253715 + ... + 72254285.

Almost surely, 2^41257034000 is an apocalyptic number.

41257034000 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 41257034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61652887296).

41257034000 is an abundant number, since it is smaller than the sum of its proper divisors (82048740592).

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

41257034000 is a wasteful number, since it uses less digits than its factorization.

41257034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The spelling of 41257034000 in words is "forty-one billion, two hundred fifty-seven million, thirty-four thousand".