40481126400 has 1152 divisors, whose sum is σ = 167201798400. Its totient is φ = 8493465600.

The previous prime is 40481126383. The next prime is 40481126443. The reversal of 40481126400 is 462118404.

It is a super-2 number, since 2×40481126400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 417331152 + ... + 417331248.

It is an arithmetic number, because the mean of its divisors is an integer number (145140450).

Almost surely, 2^40481126400 is an apocalyptic number.

40481126400 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 40481126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83600899200).

40481126400 is an abundant number, since it is smaller than the sum of its proper divisors (126720672000).

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

40481126400 is a wasteful number, since it uses less digits than its factorization.

40481126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 40481126400 in words is "forty billion, four hundred eighty-one million, one hundred twenty-six thousand, four hundred".