40137201177744 has 160 divisors (see below), whose sum is σ = 114383822966784. Its totient is φ = 12026468413440.

The previous prime is 40137201177739. The next prime is 40137201177769. The reversal of 40137201177744 is 44777110273104.

It is a super-2 number, since 2×40137201177744² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 40137201177693 and 40137201177702.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56135997 + ... + 56846499.

Almost surely, 2^{40137201177744} is an apocalyptic number.

40137201177744 is a gapful number since it is divisible by the number (44) 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 40137201177744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57191911483392).

40137201177744 is an abundant number, since it is smaller than the sum of its proper divisors (74246621789040).

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

40137201177744 is a wasteful number, since it uses less digits than its factorization.

40137201177744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711725 (or 711719 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 48.

The spelling of 40137201177744 in words is "forty trillion, one hundred thirty-seven billion, two hundred one million, one hundred seventy-seven thousand, seven hundred forty-four".